http://www.ck12.org Chapter 11. Surface Area and Volume
Guided Practice
- Find the volume of the cone.
- Find the volume of the cone.
- The volume of a cone is 484πcm^3 and the height is 12 cm. What is the radius?
Answers:
- To find the volume, we need the height, so we have to use the Pythagorean Theorem.
52 +h^2 = 152
h^2 = 200
h= 10
√
2
Now, we can find the volume.
V=
1
3
( 52 )
(
10
√
2
)
π≈ 370. 24
- Use theradiusin the formula.
V=
1
3
π( 32 )( 6 ) = 18 π≈ 56. 55
- Plug in what you know to the volume formula.