The sum of the radius of the base and the height of a solid cylinder is 37 m. If the total surface area of the cylinder be 1628 m², find its volume.
Mensuration
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Question

The sum of the radius of the base and the height of a solid cylinder is 37 m. If the total surface area of the cylinder be 1628 m2, find its volume.

KnowledgeBoat · Accepted Answer

Given, r + h = 37 m Total surface area = 1628 m2 ⇒ 2πr(h + r) = 1628 ⇒ πr(h + r) = ⇒ r + h = 37 ⇒ 7 + h = 37 ⇒ h = 37 - 7 ⇒ h = 30 m. Volume of cylinder = πr2h Hence, volume of solid cylinder is 4620 m3.

Mathematics

The sum of the radius of the base and the height of a solid cylinder is 37 m. If the total surface area of the cylinder be 1628 m², find its volume.

Mensuration

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