Question

The radius of a basketball is about 3.6 times greater than the radius of a tennis ball. How many times greater is the volume of a basketball than the volume of a tennis ball. (note: the volume of a sphere is v= 4/3 pi r cubed

Answer 1

let's take radius of the basket ball as b
let's take radius of the tennis ball as t
b = 3.6 t

volume of the basket ball vb = 4/3 pi b^3
volume of the tennis ball vt = 4/3 pi t^3

therefore
vb / vt = b^3 / t^3
= (3.6t)^3 / t^3
= 3.6^3
= 46.656

so the volume of the basketball is 46.656 times greater than the volume of the tennis ball.