Question

The top of a tower is a cone with a radius of 12 feet. The volume of the cone is 1,506.96 cubic feet. Which of these is the height of the top of the tower in feet? Round to the nearest tenth.

Answer 1

the question does not have the options, but this does not limit its resolution

we know that
volume of the cone=(1/3)*pi*r²*h
where
r is the radius of the cone
h is the height of the cone
r=12 ft
Volume=1506.96 ft³
h=?

clear the variable h
v=(1/3)*pi*r²*h-----> multiply by 3
3*v=pi*r²*h----> divided by (pi*r²)
h=3*v/(pi*r²)------> h=3*1506.96/(pi*12²)----> h=9.99 ft---> h=10 ft

the answer is
h=10 ft