One round cake pan has a diameter of 10inches. A second-round cake pan has a diameter of 8 inches. Each is a cylinder with a height of 2 inches. What is the difference in the volume of the two cake pans in cubic inches

56.56 in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

To solve this problem we need to calculate the volume of both cake pans

Given data

First cake pan

Diameter d = 10in

Radius r = 5in

Height h = 2in

Second pan

Diameter d = 8in

Radius r = 4in

Height h = 2in

Volume of first cake pan

V=πr²h

V = 3.142*5²*2

V = 157.1 in³

Volume of second cake pan

V=πr²h

V = 3.142*4²*2

V = 100.544 in³

Difference in volume is

=157.1-100.544

= 56.56 in³