Question

A cone has a volume of 1,440\pi cubic centimeters and a height of 30 centimeters. What is the diameter of the cone's base?

Answer 1

we know that
[volume of a cone]=pi*r²*h/3
h=30 cm
volume=1440*pi cm³
r²=3*volume/[pi*h]------> r²=3*1440*pi/[30*pi]----> r²=144-------> r=√144
r=12 cm
so
the diameter=2*r------> 2*12-----> 24 cm

the answer is
the diameter of the cone's base is 24 cm