Find the volume of a cone with a base diameter of 10 cm and a height of 9 cm

Answers

Answer 1

Answer:

235.71cm^2

Step-by-step explanation:

Volume of cone = 1/3 pie r^2 h

1/3*22/7*5*5*9

= 235.71cm^2

Answer 2

Volume of a cone is 235.6 cm³.

Why is the volume of a cone?The volume of a cone with height h and radius r is 1/3πr2h, which is exactly one third the volume of the smallest cylinder that it fits inside. This can be proved easily by considering a cone as a solid of revolution, but I would like to know if it can be proved or at least visual demonstrated without using calculus.  

The volume of a cone is calculated the using the formula:

[tex]V = \frac{1}{3} \pi r^{3} h[/tex]

Given,

         height of the cylinder is, h=9cm.

         The diameter of the base is 10cm. r = 5 cm

    put the values into the formula to get -

          V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]

         [tex]V = 75 \pi[/tex]

Put value of π = 3. 14 ,

          V = 75 * 3.14

           V =  235.6 cm³

Therefore, Volume of a cone is 235.6 cm³.

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Related Questions

Solve the equation used to find the area of trapezoid for h A=1/2h(x+y)

Answers

A=1/2*h(x+y)
Make h subject of formula
2A=h(x+y)
h=2A/(x+y)

Two old RSM students were standing 10 ft apart when they spotted Mrs. Rifkin. If they immediately run in opposite directions at the speeds of 150 feet per minute and 160 feet per minute respectively, how many minutes will pass before they are 1870 feet apart?

Answers

Answer:

6

Step-by-step explanation:

Seeing that the two students are running aside from

each other. We can add the speeds together.

We can also subtract 10 feet from our goal of 1870

they are already feet apart.

1870ft / (150+1650) ft per min

we are left with our answer 6

Hope this helps!

Answer:

5.96 minutes :)

I need some help! I would really appreciate it!

Answers

Answer:

answer is A

Step-by-step explanation:

slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig

find the total surface area of the prism. geometry hw. plz help me

Answers

Answer:

152

Step-by-step explanation:

Hello there!

The prism shown is a triangular prism

There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one

Formula: SA = bh + L(s1 + s2 + s3) (found in the image)

b = base length

h = height

L = length

s1 = (same thing as the base length)

s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)

The triangular prism has the following dimensions

b = 6

h = 4

L = 8

s2 and s3 = 5

Now that we have identified each dimension we plug in the values into the formula

SA = 6*4 + 8(6+5+5)

6*4=24

8*6=48

8*5=40

40*2=80

80+48=128

128 + 24 = 152 so the surface area of the triangular prism is 152 cm²

A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT

Which of the following is a true statement?
1/3 > 3/8
4/8< 8/24
4/8<9/16
4/16>3/8

Answers

We'll need to convert all the fractions to common denominators.

1/3 = 8/24

3/8= 9/24

4/8 = 12/24

8/24 stays the same.

4/8 = 8/16

9/16 stays the same.

4/16 stays the same.

3/8 = 6/16

Now we compare.

8/24 > 9/24 X

12/24 < 8/24 X

8/16 < 9/16 √

4/16 > 6/16

So the answer is C) 4/8<9/16

---

hope it helps

THe halloween haunt estimated they would make $125,450 this year. They expect to make 23,700 more than last year by the time they close this year. How much money did they make last Year? help due at 11.59

Answers

Answer:

it is at least $300000 good luck

WILL CHOOSE BRAINLY WHAT IS THE MEAN

Answers

Answer:

the mean is you need to make the photo bigger somehow so that people can see it

Step-by-step explanation:

A. using substitution find the value of the remaining unknown in each of the following formulas.

1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3

Answers

Answer:

Substitution means that we need to replace some of the variables by the given values.

1)  t = rs*(s + 1)      (if r=4 and s=5)

So we just need to replace r by 4 and s by 5 in the equation.

t = 4*5*(5 + 1) = 20*6 = 120

t = 120

2)  k = 6 - 5q/2g     (if q=3 and g=8)

We need to replace q by 3, and g by 8.

k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167

k = 5.167

3) p = a + b - 2c   (if a = 2, b = -1, c = 5)

Replacing the variables we get:

p = 2 + (-1) - 2*(5)

p = 2 - 1 - 10 = -9

p = -9

4) I = 1/x - 2/y + z   (if x = 4, y = 6, and z = 2/3)

Replacing the variables we get:

I = 1/(4) - 2/(6) + (2/3)

I = 1/4 - 2/6 + 2/3 =  1/4 - 1/3 + 2/3

I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12

I = 7/12 = 0.583

Use the figure below to complete the sentence.
B
A
E
39°
o
BGC and ZFGE are (select)
angles, so mZFGE =

Answers

Answer:

<BGC and <FGE are vertical angles

<BGC=90°-42°=48°

So m<FGE=48°

Hope it helps...

PLSSS If you spin the spinner 10 times, what is the best prediction possible for the number of times it will land on pink? ​

Answers

Answer:

3 times

Step-by-step explanation:

Probability of landing on pink:

P(pink) = number of pink / total number = 3/10

If spun 10 times then possible outcomes with pink:

3/10*10 = 3 times

Answer:

3 times, or [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

There are 3 out of 10.

The following is a list of a student's scores on his Spanish test. 71,69, 65, 84, 82, 95 Which box plot represents this data?

Answers

The box which represents this data is Minimum: 65

Q1: 69

Median: 82

Q3: 110

Maximum: 95

We are given that;

71,69, 65, 84, 82, 95

Now,

A box plot is a type of chart that shows the five-number summary of a set of data: the minimum, first quartile, median, third quartile, and maximum. To make a box plot, you need to follow these steps 1:

Arrange the data from smallest to largest.

Find the minimum and maximum of the data. These will be the endpoints of the whiskers.

Find the median of the data. This will be the vertical line inside the box.

Find the first quartile (Q1) and the third quartile (Q3) of the data. These will be the lower and upper edges of the box.

Find the interquartile range (IQR) by subtracting Q1 from Q3. This is the length of the box.

Find the lower and upper limits by subtracting 1.5 times IQR from Q1 and adding 1.5 times IQR to Q3. These are the boundaries for detecting outliers.

Draw a box from Q1 to Q3 with a vertical line at the median. Draw whiskers from the box to the minimum and maximum values that are within the lower and upper limits. Mark any outliers with dots or asterisks.

Therefore, by algebra the answer will be

Minimum: 65

Q1: 69

Median: 82

Q3: 110

Maximum: 95

More about the Algebra link is given below.

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help me solve this queston

Answers

TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

To represent the given problem as a system of equations, we can use the following information:

John is 70 years younger than Sharon: j = s - 70

Sharon is 4 times as old as John: s = 4j

Let's plot the graph for this system of equations:

First, let's solve equation (2) for s:

s = 4j

Now substitute this value of s in equation (1):

j = s - 70

j = 4j - 70

3j = 70

j = 70/3

Substitute the value of j back into equation (2) to find s:

s = 4j

s = 4(70/3)

s = 280/3

The solution to the system of equations is j = 70/3 and s = 280/3

In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.

Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

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HELP HELP GEOMETRY 15 points

Answers

Answer:

BC

_______________________________

A is wrong because radians really refers to the arc with respect to the angle. The opposite is true with A.

D is wrong because the arc is actually bigger than the radius given 1.5 radians.

E is wrong because the area of the whole circle is defined as 2π radians, 1.5 rad × 1.5 = 2.25 rad is (405/π)° and 2π radians is 360° (2π × 180 / π)°.

F is wrong because the circumference of a circle is 2πr.

Geologists recorded the duration (in seconds) of over 500 recent eruptions of the Old Faithful geyser in
Yellowstone National Park. Here's a histogram showing the distribution of their data:
= 210
0.26
0.22
0.18
0.15
Relative frequency
0.11
0.07
0.04
0.00
75
300
150 225
Duration (seconds)
Suppose that we were to take random samples of 30 eruptions from this population and calculate į as the
sample mean duration of the eruptions in each sample.
Which graph shows the most reasonable approximation of the sampling distribution of ?

Answers

Answer: C (A unimodal histogram, and the dotted line lands at 210)

Step-by-step explanation:

Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”

Will mark brainliest. Question is below.
A trash can is in the shape of a cylinder. It has a radius of 2 feet and a height of 5 feet. What is the volume of the trash can? Round to the nearest tenth. Use 3.14 for π or pi.

Answers

Answer:

62.8 cubic feet

Step-by-step explanation:

V = πr^2h

r is radius

h is height

Radius = 2ft

Height = 5ft

V = (3.14)(2)^2(5)

V = 62.8 cubic feet

Find the area of the following figure: 14ft 6ft 9ft

Answers

hi I am sorry I don't know.

What is the length of ab?

Answers

Answer:

Step-by-step explanation:

which angles are congruent to each other​

Answers

Answer:

Angles that are vertical or across from each other are congruent or equal.

is negative 1 4/5 greater than negative 1 7/10

Answers

Answer:

no

Step-by-step explanation:

1 4/5 = 1 8/5 if you make a common denominator

Write down an irrational number with a value between 6 and 7.​

Answers

Answer:

Three irrational numbers between 6 and 7 are

i )6.2020020002...

ii) 6.5010010001....

iii)6.9010010001.... etc.

•••♪

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

3 irrational numbers with a value between 6 & 7 can be :-

6.101001000....6.533533353333....6.122122212222...

A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the jar, and the numbers are written down in order. How many sequences of numbers are possible?

Answers

Answer:59280

Step-by-step explanation: Perumtaion of (40,3)

The required possible number of sequences is given as 59280.

Given that,
A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the jar, and the numbers are written down in order.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
Total number of balls = 40
Number of balls selected = 3
Combination of sequence = 40P3
Combination of sequence = 59280

Thus, the required possible number of sequences is given as 59280.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
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Find the volume of the sphere. Round to the nearest tenth.

The volume is about _____ cubic meters.

Answers

Could You explain more I cannot Under stand Or see the Picture

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

Its only 5 point but ok

its $3.44 per quart

Step-by-step explanation:

I need help. This is due later today.

Answers

Answer:

D is one of them

Step-by-step explanation:

The outlier has the greatest affect on the ___________.

Answers

Answer:

mean

Step-by-step explanation:

How much more popcorn does the bigger box hold than the smaller box? cm^3

Answers

9514 1404 393

Answer:

  70 cm³

Step-by-step explanation:

Amanda's container holds ...

  V = LWH = (10 cm)(10 cm)(13.5 cm) = 1350 cm³

Mary's container holds ...

  (8 cm)(8 cm)(20 cm) = 1280 cm³

The larger box holds 1350 -1280 = 70 cm³ more popcorn.

Jason can water all the plants at the botanical
garden in 32 minutes. Celia can water them in
25 minutes. If they work together, about how long
will it take for them to water the plants?

Answers

Answer:

If they water the plants in the garden together then it will take about 15 minutes because when they do it seperatly it takes about 30 minutes. So if they do it together, they are cutting work in half. And half of 30 is 15.

Step-by-step explanation:

32 rounded is 30.

25 rounded is 30.

30/ 2 = 15

solve by addition -8x+2y=14 -4x+y=4​

Answers

Answer:Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

No solution

Step-by-step explanation:

Answer:

Im not sure how to solve by addition but if you solve its it is no solution

Step-by-step explanation:

Hope this helps

What is the quotient?

Answers

Answer:

4000000000000=4x10^12

Step-by-step explanation:

The first choice is the quotient.

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