Question

A sphere and a cylinder have the same diameter, and the cylinders height is the same as its diameter. How will there volumes compare? Display examples please.help

Answer 1

Sphere : Cylinder
2 :3

Reason

Formula of a sphere is actually 2/3 times the volume of the cylinder

Sphere is (2/3) 2•pi•r^2 •h

the height of a sphere is the diameter or 2 times radius

the formula of a sphere is
(2/3) 2 • pi • r^2 • 2r

simplified is
(2 • 2/3) (r • r^2) • pi
(4/3) (r^3) pi