A right circular cone has a base diameter of 10 and a height of 18. A second right circular cone has a base diameter of 15. If the volume of the second cone is equal to the volume of the first cone, then what is the height of the second cone?

Question

provide complete solution w explanations pls

Answer 1

Find the volume of the first cone.
You know r = 5 and h = 18
You MUST know the formula

for the second cone you know r = 7.5 and you have to find h
sub in r = 7.5 and h in the formula and set it equal to the volume of the first cone.
Solve for h

let me know what you get.