Question

A rectangle has dimensions of 7 in. by 5 in. Consider the solid of revolution formed when the rectangle is rotated about its 7 in. side. What is the solid formed by the revolution?

cone cylinder What is the radius (in inches) of the base of the solid of revolution?
in What is the height (in inches) of the solid of revolution?
in Find the exact volume (in cubic inches) of the solid of revolution.

Answer 1

(a) Cylinder, R = 5 in, H = 7 in

(b) Volume = 549.5 cubic inches

Explanation:

length, L= 7 in

width, W = 5 in

(a) The solid is cylinder.

Radius, R = 5 in

(b) Height = 7 in

Volume of the cylinder

`V = \pi r^2 h\\\\V = 3.14 * 5 * 5* 7\\\\V = 549.5 in^3`