V=(1)/(3)pir^(2)h The formula gives the volume V of a right circular cone with radius r and height h. What is the volume, in cubic meters, of a right circular cone with a radius of 4 meters and a height of 3 meters? Choose 1 answer: (A) 16 pi (B) 36 pi (c) 48 pi (D) 144 pi

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V=(1)/(3)pir^(2)h The formula gives the volume  V of a right circular cone with radius  r and height  h. What is the volume, in cubic meters, of a right circular cone with a radius of 4 meters and a height of 3 meters? Choose 1 answer: (A)  16 pi (B)  36 pi (c)  48 pi (D)  144 pi

Bytelearn · Accepted Answer

Formula for volume of cone: The formula for the volume of a right circular cone is given by $ V = \frac{1}{3} \pi r^2 h $, where $ r $ is the radius and $ h $ is the height of the cone. We need to substitute the given values of $ r = 4 $ meters and $ h = 3 $ meters into the formula to find the volume $ V $.Substitute given values: Substitute the given values into the formula: $ V = \frac{1}{3} \pi (4)^2 (3) $.Calculate radius squared: Calculate the radius squared: $ (4)^2 = 16 $.Multiply radius squared by height: Multiply the radius squared by the height: $ 16 \times 3 = 48 $.Multiply by pi and divide by 3: Multiply by $ \pi $ and divide by 3 to get the volume: $ V = \frac{1}{3} \times 48 \times \pi $.Calculate final volume: Calculate the final volume: $ V = 16 \pi $ cubic meters.

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