How to find the volume of a semicircle

Written by michael keenan | 13/05/2017
How to find the volume of a semicircle
A calculator can help you find the area of a semicircle. (Jupiterimages/BananaStock/Getty Images)

Because a semicircle is a two-dimensional shape, it has an area rather than volume. You might need to know the area of a semicircle if you want to paint a semicircular area or if you want to lay sod in a semicircular area. To find the area of a semicircle, you need to know the diameter, which is the distance across the semicircle. If you have half a sphere, you can find the volume by finding the area of the whole sphere and dividing by 2.

Things you need

  • Measuring tape

  • Calculator

Measure the distance across the semicircle to find the diameter of the semicircle.

Divide the diameter by 2 to find the radius. For example, if the semicircle diameter equals 14 inches, divide 14 by 2 to get a radius of 7 inches.

Square the radius. In this example, square 7 to get 49.

Multiply the squared radius by 3.14 to get 153.86 square inches.

Divide 153.86 by 2 to find the area of the semicircle. Completing the example, divide 153.86 by 2 to get 76.93 square inches.

Measure the distance across the bottom of the hemisphere to find the diameter.

Divide the diameter by 2 to find the radius. For example, if the hemisphere diameter equals 14 inches, divide 14 by 2 to get a radius of 7 inches.

Cube the radius. Cubing means to multiply the number by itself three times. In this example, multiply 7 times 7 times 7 to get 343 cubic inches.

Multiply the previous result by 4/3. In this example, multiply 343 by 4/3 to get 457.33 cubic inches.

Multiply the previous result by 3.14 to find the volume if you had a full sphere. In this example, multiply 457.33 by 3.14 to get 1,436.03 cubic inches.

Divide the volume of the full sphere by 2 to find the volume of the hemisphere. In this example, divide 1,436.03 by 2 to get 718.02 cubic inches.

Things you need

  • Measuring tape
  • Calculator

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