Question

What is the volume of the composite figure? Express the

answer in terms of pi.
144pi mm
168pi mm
312pi mm
456pi mm

Answer 1

312 πmm^2

Explanation:

On edg

Answer 2

`V=312\pi\ mm^(3)`

Explanation:

we know that

The volume of the composite figure is equal to the volume of a semi-sphere plus the volume of the cone

so

`V=(4)/(6)\pi r^(3) +(1)/(3) \pi r^(2) h`

we have

`r=6\ mm`

`h=14\ mm`

substitute

`V=(4)/(6)\pi (6)^(3) +(1)/(3) \pi (6)^(2) (14)`

`V=144\pi +168\pi`

`V=312\pi\ mm^(3)`