Question

A right circular cone has a volume of 30π m. If the height of the cone is multiplied by 6 but the radius remains fixed, which expression represents the resulting volume of the larger cone?

Answer 1

Volume (cone) = (1/3)πr²h, at the same time Volume (cone)=30π

(1/3)πr²h=30π,
If the height  is multiplied by 6, we will need to multiplied by 6 both sides of the equation (1/3)πr²h=30π.

(1/3)πr²*(6*h)=6*30π
So the volume of the new cone is going to be
 Volume (new cone)=6*30π =180π