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The area of the inner part of a cylinder is 616 sq. cms and its radius is half its height. Find the inner volume of the cylinder.

A.1538.5 cm^3
B.1577.5 cm3
C.1435.8 cm^3
D.1238.5 cm^3
Answer and Feedback
Answer:A
Feedback:Given 2ᴨrh + ᴨr2 = 616 and r = (1/2) * h
So 2ᴨ × (1/2)h × h + ᴨ × (1/4)h2 = 616
Solve, h = 28/√5
Volume = ᴨr^2h = (22/7) * (1/4) * h2 * h
Put h = 28/√5, vol. ≈ 1538.5

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Practice Mensuration Online Test 5 | Englishfreetest.com

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