Find the volume of the body obtained by rotating a right-angled triangle with a leg of 6 and 8 cm around the large leg.

univerkov | February 1, 2021 | education

The figure of rotation will be a cone, the height of which is equal to the larger leg, h = 8 cm, and the radius of the circle at the base is equal to the smaller leg r = 6 cm.

Let’s define the volume of the cone.

V = n * r2 * h / 3 = n * 36 * 8/3 = n * 96 cm3.

Answer: The volume is equal to n * 96 cm3.

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