V=(4)/(3)pir^(3) The formula gives the volume V of a sphere with radius r. What is the volume, in cubic inches, of a sphere with a radius of 6 inches? Choose 1 answer: (A) 864 pi (B) 288 pi (C) 216 pi (D) 48 pi

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V=(4)/(3)pir^(3) The formula gives the volume  V of a sphere with radius  r. What is the volume, in cubic inches, of a sphere with a radius of 6 inches? Choose 1 answer: (A)  864 pi (B)  288 pi (C)  216 pi (D)  48 pi

Bytelearn · Accepted Answer

Volume formula for a sphere: The formula for the volume of a sphere is given by $ V = \frac{4}{3} \pi r^3 $. To find the volume of a sphere with a radius of 6 inches, we need to substitute $ r = 6 $ into the formula.Substitute radius into the formula: Substitute $ r = 6 $ into the volume formula: $ V = \frac{4}{3} \pi (6)^3 $.Calculate the volume: Calculate the volume using the substituted values: $ V = \frac{4}{3} \pi (6)^3 = \frac{4}{3} \pi (216) $ because $ 6^3 = 6 \times 6 \times 6 = 216 $.Multiply by $ \frac{4}{3} $: Multiply $ \frac{4}{3} $ by $ 216 $ to get the volume: $ V = \frac{4}{3} \times 216 \pi = 4 \times 72 \pi $.Final volume calculation: Calculate the final volume: $ V = 4 \times 72 \pi = 288 \pi $ cubic inches.

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