Question

The volume of the cone

Answer 1

1004.8 in³

Explanation:

The radius of the cone is 8.

The height of the cone uses the Pythagorean Theorem: a²+b²=c²

8²+b²=17²

64+b²=289

Subtract 64 from both sides.

b²=225

Now to find b, sqrt 225

b=
`√(225)`

b=15

The height is 15

The formula for the volume of a cone is 1/3πr²h

Using that formula:

1/3*3.14*8²*15=

1/3*3.14*64*15=

5*3.14*64=

320*3.14=

1004.8