NumericalModerate3 marks
A solid wooden cylinder is of radius 6 cm and height 16 cm. Two cones each of radius 2 cm and height 6 cm are drilled out of the cylinder. Find the volume of the remaining solid.
Topic: Mensuration of solids
Previous-year question practice database
Answer
Exam answer
Volume remaining = 560π cm³ = 1,760 cm³ (using π = 22/7 if required).
Explanation
Cylinder volume = π(6²)(16)=576π. Each cone volume = (1/3)π(2²)(6)=8π; two cones =16π. Remaining volume = 576π−16π=560π.
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