Multiple choice

The diameter of a circle is 10.5 cm and the radius of a sphere is twice the diameter of the circle. Find the volume of the sphere.

  1. 35,664 cm3

  2. 30,804 cm3

  3. 25,996 cm3

  4. 38,808 cm3

  5. 40,132 cm3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Diameter of circle = 10.5 cm. Radius of sphere = 2 * 10.5 = 21 cm. Volume = (4/3) * pi * r^3 = (4/3) * (22/7) * 21 * 21 * 21 = 4 * 22 * 21 * 21 = 38808.

AI explanation

The circle has a diameter of 10.5 centimeters, so the radius of the sphere is twice this diameter, which is 21 centimeters. The volume of a sphere is found using the formula 4/3 times pi times the radius cubed. Substituting the values gives 4/3 times 22/7 times 21 cubed, which simplifies to 4/3 times 22/7 times 9261. This calculates to 38,808 cubic centimeters.

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