Question

Can you please help me out with a question

Answer 1

ok. so the figure is composed by a hemisphere and a cillinder

to find the volume of an hemisphere we use the following formula:

$A_h=2\pi r^2$

The diameter is 16ft, so the radius is 8ft

$V_h=2\pi(8ft)^2=128\pi ft^2$

for the cillinder, the volume can be calculated with:

$A_c=h\cdot\pi\cdot\text{diameter}=9ft\cdot\pi\cdot16ft=144\pi$

and for last the base of the cilinder has an area of

$A_b=\pi r^2=\pi(8ft)^2=64\pi$

adding all up:

$64\pi+144\pi+128\pi=336\pi$