seventh grade math

Question

These two right circular cylinders have the same height, 25 centimeters. The radius of the smaller cylinder, r₁, is 12 centimeters and the radius of the larger cylinder r₂, is 6 times greater than r₁.

 

If V₂ represents the volume of the larger cylinder and V₁ represents the volume of the smaller cylinder, how many times as large as V₁ is V_2,?

Answer 1

V2 = hpi(r2)^2 = 25pi(6x12)^2

V1 = hp(r1)^2= 25pi(6^2

V2 =V1(6^2)(12^2)/6^2 = V1(12^2 )= 144V1

larger volume = 144 times the volume of the smaller volume