The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm². Find the height and the volume of the cylinder.
Mensuration
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The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm². Find the height and the volume of the cylinder.

KnowledgeBoat · Accepted Answer

Given, (h + r) = 37 cm, where h = height and r = radius of the cylinder. Given, Total surface area = 1628 cm². We know that Total surface area = 2πr(h + r). ∴ 2πr(h + r) = 1628 Putting values, Since, h + r = 37. ⇒ h + 7 = 37 ⇒ h = 37 - 7 = 30 cm. Volume of cylinder = πr²h. Putting values we get, Hence, the height of the cylinder = 30 cm and volume of cylinder = 4620 cm³

Mathematics

The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm². Find the height and the volume of the cylinder.

Mensuration

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Mathematics

The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm2. Find the height and the volume of the cylinder.

Mensuration

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