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  • The area of the inner part of a cylinder is 616 sq.
Question 1:
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
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
B. 1577.5 cm3
C. 1435.8 cm^3
D. 1238.5 cm^3

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