What is the volume of one slice of pizza?

Geometry Level 2

In the United States, a circular pizza pie measuring 12 inches in diameter is usually sliced into 8 uniform pieces. Assuming the pizza has a height of 1/8 of an inch and the whole pie can be assumed to have uniform thickness and density, what is the volume (in in^3) of one slice of pizza to 1 decimal place?


The answer is 1.8.

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2 solutions

Jordan Cahn
Dec 6, 2018

We are dealing here with a (very short) cylinder. The volume of a cylinder is V = π r 2 h V=\pi r^2 h . Thus, the volume of a slice (one eighth of the cylinder) is π × 6 2 × 1 8 8 = 36 π 64 = 9 π 16 1.767 \frac{\pi\times 6^2 \times \frac{1}{8}}{8} = \frac{36\pi}{64} = \frac{9\pi}{16} \approx \boxed{1.767}

Ian Silberzweig
Feb 6, 2018

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