The radius of a basketball is 3.6 times greater than the radius of a tennis ball how many times greater is the volume of a basketball then the volume of a tennis ball

Respuesta :

radius of the basket ball as b & radius of the tennis ball as t
b = 3.6 t

Volume of sphere = 4/3 pi r ^3
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. Hope this is correct