A cone has a base radius of length r, and an perpendicular height length h. If the height remains the same, and the radius is multiplied by 3, then the volume i

Question

A cone has a base radius of length r, and an perpendicular height length h. If the height remains the same, and the radius is multiplied by 3, then the volume is multiplied by:

Answer 1

V = volume of original cone = (1/3)πr²h

 

Volume of cone with radius 3r and height h is:  (1/3)π(3r)²h = 9[(1/3)πr²h] = 9V

 

If the radius is multiplied by three and the height is unchanged, then the volume of the cone is multiplied by 9.