Mensurationhard · Past Paper
A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones.
A10
B12
C15
D8
✓ Correct Answer: A — 10
Vol_cyl = π(6²)15 = 540π. Vol_ice_cream = Vol_cone + Vol_hemi = 1/3π(3²)12 + 2/3π(3³) = 36π + 18π = 54π. Number = 540π / 54π = 10.
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