Question

What is the volume of a cone that has a radius of 12 m and a height of 3 m?

Use 3.14 to approximate pi and express your answer in hundredths.

___m3

Answer 1

I got 66.978 m3

Answer 2

V≈452.39m³

Answer 3

V=πr2h
3=π·122·3
3≈452.38934m³

Answer 4

solution ^

Answer 5

@cookielate like u pic

Answer 6

thanks

Answer 7

V≈452.39m³ is the answer?

Answer 8

yes i solved it already

Answer 9

V=πr2h
3=π·122·3
3≈452.38934m³

Answer 10

Ok thx c: can u help me with some more?

Answer 11

sure how many more

Answer 12

Bout 6 small ones...

Answer 13

okay

Answer 14

What is the exact volume of a sphere that has a radius of 7.5 ft?

___ pi ft3
I got 1767.15

Answer 15

V≈1767.15ft³ your right :)

Answer 16

5 more

Answer 17

What is the volume of a sphere that has a diameter of 42 cm?

Use 3.14 to approximate pi and express your answer in hundredths.

___cm3
I got 38792.39

Answer 18

@cookielate

Answer 19

V≈38792.39cm³

Answer 20

your right

Answer 21

Thx next one
A cylindrical tank holds 14,130 in3 of water. Ida empties the tank into 25 identical smaller cylinders, each with a radius of 3 in.

What is the height of the 25 smaller cylinders?
Use 3.14 to approximate pi.

___in.
I got 20

Answer 22

V = pi * r^2 * h

Plug in what we know:

14130 = 3.14 * 3^2 * h

Simplify exponent:

14130 = 3.14 * 9 * h

Multiply:

14130 = 28.26h

Divide 28.26 to both sides:

h = 500

Now divide by 25, since there are 25 cylinders.

500 / 25 = 20

So the height of each container is 20.

Answer 23

your right

Answer 24

your so good at this :)

Answer 25

how many more do you need ?

Answer 26

Thx but i just want to make sure my answers r right before I turn it in.

Joseph is building a cone using modeling clay. The cone has a radius of 6 cm and a height of 12 cm. Joseph adds additional clay, keeping the radius the same, until the cone reaches a height of 18 cm.

How much clay did Joseph add?
Use 3.14 to approximate pi and express your final answer in hundredths.

__cm3
I got 226.19

Answer 27

I have 2 more after this one^

Answer 28

Volume of a cone = ( pi x r squared x height ) divided by 3

(pi x 6 squared x 18) /3 - (pi x 6 squared x 12)/3 = extra clay
678.58 - 452.39 = 226.19 cm cubed

Answer 29

A hard candy has a radius of 9 mm. The candy has a spherical soft center with a radius of 6 mm, with a hard shell surrounding it.

What is the volume of the hard shell?
Use 3.14 to approximate pi and express your final answer in hundredths.

___mm3
Im not sure on this one :/

Answer 30

The answer is 141.3 because you first find the volume of the hard candy which is pi r squared then you subtract the middle of the candy

Answer 31

Thx! c: last one!

Answer 32

okay

Answer 33

Which container holds the most?

A.
cylinder with radius 9 in. and height 11 in.

B.
sphere with radius 9 in.

C.
cone with radius 12 in. and height 20 in.

I think A

Answer 34

Oh wait now Im thinking B

Answer 35

Cylinder:

V = pi * r^2 * h

V = 3.14 * 9^2 * 11

Simplify exponent:

V = 3.14 * 81 * 11

Multiply:

V = 2797.74

Sphere:

V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 9^3

Simplify exponent:

V = 4/3 * 3.14 * 729

Multiply:

V = 3052.08

Cone:

V = 1/3 * pi * r^2 * h

V = 1/3 * 3.14 * 12^2 * 20

Simplify exponent:

V = 1/3 * 3.14 * 144 * 20

Multiply:

V = 3014.4

So the Sphere holds the most.

Answer 36

Thx!!!!! c:

Answer 37

yup your right is b

Answer 38

no problem anytime