Question

Tony uses 1/8 cup mozzarella cheese for every 16 square inches of pizza. How much mozzarella will he use for a circular pizza with a diameter of 20 inches?
(A) about 2.5 cups
(B) about 5 cups
(C) about 4 cups
(D) about 6.5 cups

I need an answer with a step by step solution! >_

Answer 1

Answer: ~2.45 cups, or A

Step-by-step explanation:

First, find the area of the circle. Area formula is $A = \pi r^{2}$, but instead of the radius, we have the diameter. Halve the diameter to get the radius of 10 inches.

A = pi * 100

So the pizza has an area of around ~314.15 square inches.

Divide this number by 16 square inches to find how many 1/8 cups Tony uses.

314.15/16 = ~19.63 1/8 cups.

You can then divide 19.63 by 8 to receive how many cups he uses.