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

Quantitative Aptitude ( CCS) Mensuration 3D

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.

1577.5 cm³

1768.2 cm³

1538.5 cm³

1435.8 cm³

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Explanation:

Answer & Explanation
1538.5 cm³
Explanation:
Given 2 $\pi$ rh + $\pi$ r² = 616 and r = (1/2) * h
So 2 $\pi$ × (1/2)h × h + $\pi$ × (1/4)h₂ = 616
Solve, h = 28/√5
Volume = $\pi$ r²h = (22/7) * (1/4) * h₂ * h
Put h = 28/√5, vol. ≈ 1538.5