First, we will calculate the volume of the cylinder using the next formula
[tex]V_C=\pi r^2h[/tex]
where
r=10ft
h=30ft
we will substitute the values
[tex]V_C=\pi(10)^2(30)=9424.77=9425ft^3[/tex]
Then we will calculate the volume of a hemisphere using the next formula
[tex]V_H=\frac{\frac{4}{3}\pi r^3}{2}[/tex]
where
r=10ft
then we substitute the values
[tex]V_H=\frac{\frac{4}{3}\pi(10)^3}{2}=2094.4=2094ft^3[/tex]
then we sum the volumes in order to know the total volume
[tex]TV=V_C+V_H=2094+9425=11519ft^3[/tex]
