The volume of the ball is 36n find the surface area of the ball.

univerkov | September 4, 2021 | education

The volume of the ball (Vsh) is equal to the volume of the pyramid, the base area of which is equal to the surface area of the ball, and the height is the radius of the ball (R). Calculated by the formula:
Vsh = 4 / 3nR ^ 3.
Knowing that the volume of the ball is 36n, we calculate the radius of the ball:
R3 = Vsh: 4 / 3p = 36p: 4 / 3p = 27.
R = 3.
The surface area of the ball (S) is calculated by the formula:
S = 4pR ^ 2 = 4p * 32 = 36p.
Answer: 36p.

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