Question

Mr. Rodriguez is making 2 different size wedding cakes

The small cake has a diameter of 8 Inches. The large has a diameter 24 inches.
If the pans have a depth that is the same at 3 Inches. How many times greater is the volume of the large cake to the small cake.

Answer 1

9x

Explanation:

Think of a cake as a very short cylinder. Volume of a cylinder=πr²h

small cake: V = π(8/2)²(3) = 151 in³

large cake: V= π(24/2)²(3) = 1357 in³

1357/151 ≈ 9

large cake is 9 time greater in volume than the small cake

shortcut solution: 24/8 = 3, 3² = 9