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The curved surface area of a …

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The curved surface area of a cylinder is 154cmsquare . The total surface area of the cylinder three times it's curved surface area. Find the volume of the cylinder.

Posted by Arif Siddiqui 4 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 4 years, 9 months ago

T.S.A = 3×154 = 462 cm²

C.S.A = 154 cm²

C.S.A = 2πrh

T.S.A = 2πr(r+h)

Now,

In T.S.A = 2πrr + 2πrh

462 = 2πrr + 2πrh

462 = 2×22/7×r×r + 154

462 – 154 = 2×22/7×r×r

308×7/2×22 = r×r

49 = r×r

R = 7 cm

Now,

C.S.A = 2πrh

154 = 2×22/7×7×h

154/44 = h

7/2 =h

H = 3.5 cm or 7/2 cm

Now volume = πrrh

= 22/7× 7× 7×7/2

= 11×49

= 539 cm³

0Thank You

ANSWER

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CBSE > Class 09 > Mathematics