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In order to calculate the volume we must work out the radius.

Lateral surface area without the 2 end pieces of the cylinder = 200 sq.ft,

2*pi*r*8 = 200

Divide both sides by 2*pi*8 to find the length of the radius.

radius = 3.978873577

Volume in cubic units = pi*radius2*height or altitude;

Volume = 397.8873577 cubic feet or 398 to the nearest cubic foot.

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Q: The lateral surface area of a right circular cylinder is 200 sq. ft . If the altitude is 8 ft. find the volume of the cylinder?
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