The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm 2 . Find the height and the volume of the cylinder.

Given, (h + r) = 37 cm, where h = height and r = radius of the cylinder. Given, Total surface area = 1628 cm 2 . 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 = πr 2 h. Putting values we get, Hence, the height of the cylinder = 30 cm and volume of cylinder = 4620 cm 3

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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

Related Questions

Find the ratio between the total surface area of a cylinder to its curved surface area given that its height and radius are 7.5 cm and 3.5 cm.

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The ratio between the curved surface and the total surface of a cylinder is 1 : 2. Find the volume of the cylinder, given that its total surface area is 616 cm².

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

Related Questions

Find the ratio between the total surface area of a cylinder to its curved surface area given that its height and radius are 7.5 cm and 3.5 cm.

The radius of the base of a right circular cylinder is halved and the height is doubled. What is the ratio of the volume of the new cylinder to that of the original cylinder ?

The total surface area of cylinder is 352 cm2. If its height is 10 cm, then find the diameter of the base.

The ratio between the curved surface and the total surface of a cylinder is 1 : 2. Find the volume of the cylinder, given that its total surface area is 616 cm2.

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.

The total surface area of cylinder is 352 cm². If its height is 10 cm, then find the diameter of the base.

The ratio between the curved surface and the total surface of a cylinder is 1 : 2. Find the volume of the cylinder, given that its total surface area is 616 cm².