Question

I don't understand the set up for equations like these.

Answer 1

First, we will calculate the volume of the cylinder using the next formula

$V_C=\pi r^2h$

where

r=10ft

h=30ft

we will substitute the values

$V_C=\pi(10)^2(30)=9424.77=9425ft^3$

Then we will calculate the volume of a hemisphere using the next formula

$V_H=\frac{\frac{4}{3}\pi r^3}{2}$

where

r=10ft

then we substitute the values

$V_H=\frac{\frac{4}{3}\pi(10)^3}{2}=2094.4=2094ft^3$

then we sum the volumes in order to know the total volume

$TV=V_C+V_H=2094+9425=11519ft^3$