Question

The volume of a cone is 258.9 cubic centimeters. a cylinder has the same base and height as the cone. what is the volume in cubic centimeters of the cylinder

Answer 1

776.7 cm^3

Explanation:

Answer 2

Volume of a cylinder = A(base)*height

Volume of a cone = 1/3*A(base)*height

Because the base and height of the cylinder and cone are the same, we can write

Volume of the cone = 1/3*A(base)*height =1/3*Volume of the cylinder

Volume of the cone = 1/3*Volume of the cylinder, so

Volume of the cylinder=3*Volume of the cone =3*258.9=776.6 cm³

Volume of the cylinder= 776.6 cm³