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Chapter 1: Q57. (page 20)

Make a rough estimate of the volume of your body (inm3).

Short Answer

Expert verified

The volume of your body is approximately 8×10-2m3.

Step by step solution

01

Step 1. Definition of a rough estimate

A rough estimate is an approximate calculation of a quantity or a number.

02

Step 2. Definition of volume

Volume is defined as the amount of space occupied by a solid 3-D figure like a cuboid, cylinder, or sphere.

03

Step 3. Assumptions to determine the volume of a human body

Assume that your body is a perfect cylinder with the dimensions corresponding to your body (tall and approx. 30-inch waist).

Thus, the cross-sectional radius (r) will be 0.12m.

The height (h) of the cylinder will be 1.70m.

04

Step 4. Determination of the volume of the cylinder

The volume of a regular cylinder is V=πr2h.

Substitute the numerical values in the above expression.

V=3.140.12m21.70m=0.07690m3≈8×10-2m3

Thus, the volume of the body is roughly 8×10-2m3.

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