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
