Mensurationhard · Past Paper
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. If the radius of the cylinder is 60 cm and its height is 180 cm, find the volume of water left in the cylinder.
A1.131 m³
B2.262 m³
C0.565 m³
D1.5 m³
✓ Correct Answer: A — 1.131 m³
Vol_cyl = π(60²)180 = 648000π. Vol_solid = Vol_cone + Vol_hemi = 1/3π(60²)120 + 2/3π(60³) = 144000π + 144000π = 288000π. Vol_left = 360000π ≈ 1.131 m³.
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