Question

A round cake has a diameter of 10 inches and height of 5 inches. What is the volume of the entire cake? Round to the nearest tenth

If the cake is cut into 6 equal pieces, what is the volume of the cake after one piece has been removed ? Round to the nearest tenth

Answer 1

1) the volume of the entire cake is ≈ 392.5 cubic inches

2) the volume after 1/6 of it has been removed is ≈ 327.1 cubic inches

Explanation:

1) Formula for a cylinder = π r^2 h

First, find the area of the base of the cake (doing π r^2)

A = π r^2

A = 3.14 · 5^2

A = 3.14 · 25

A ≈ 78.5 in^2

Next, multiply the area of the base by the height of the cake (multiplying π r^2 by h)

78.5 · 5 = 392.5 in^3

2) Just divide 392.5 by 6 and subtract what you get from 392.5.

392.5/6 ≈ 65.4

392.5 - 65.4 = 327.1 in^3