The difference between the outer curved surface area and the inner curved surface area of a hollow cylinder is 352 cm 2 . If its height is 28 cm and the volume of material in it is 704 cm 3 ; find its external curved surface area.

Let internal radius be r cm and external radius be R cm. Given, Difference between the outer curved surface area and the inner curved surface area of a hollow cylinder = 352 cm 2 ∴ 2πRh - 2πrh = 352 ⇒ 2πh(R - r) = 352 ⇒ πh(R - r) = 176 ...........(1) Volume of the material = 704 cm 3 (Given) ∴ π(R 2 - r 2 )h = 704 .........(2) Dividing (2) by (1) we get, Substituting value of R and h in equation (1) we get : R = 4 - r = 4 - 1 = 3 cm. External curved surface area = 2πRh = = 2 × 22 × 3 × 4 = 528 cm 2 . Hence, external curved surface area = 528 cm 2 .

Mathematics

The difference between the outer curved surface area and the inner curved surface area of a hollow cylinder is 352 cm². If its height is 28 cm and the volume of material in it is 704 cm³; find its external curved surface area.

Mensuration

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Mathematics

The difference between the outer curved surface area and the inner curved surface area of a hollow cylinder is 352 cm². If its height is 28 cm and the volume of material in it is 704 cm³; find its external curved surface area.

Mensuration

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Mathematics

The difference between the outer curved surface area and the inner curved surface area of a hollow cylinder is 352 cm2. If its height is 28 cm and the volume of material in it is 704 cm3; find its external curved surface area.

Mensuration

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