Question

What is the volume of the composite figure? Express the

Answer 1

Answer:

312 πmm^2

Step-by-step explanation:

On edg

Answer 2

Answer:

$V=312\pi\ mm^{3}$

Step-by-step 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

$V=\frac{4}{6}\pi r^{3} +\frac{1}{3} \pi r^{2} h$

we have

$r=6\ mm$

$h=14\ mm$

substitute

$V=\frac{4}{6}\pi (6)^{3} +\frac{1}{3} \pi (6)^{2} (14)$

$V=144\pi +168\pi$

$V=312\pi\ mm^{3}$