Question

From each end of a solid cylinder of height $20$ cm and base radius $7$ cm, a cone of base radius $2.1$ cm and height $5$ cm is scooped out. Find the volume of the remaining solid.

Approach

Volume of cylinder $= π (7)^{2} (20) = 3080$ cu. cm. Volume of two cones $= 2 \times \frac{1}{3} π (2.1)^{2} (5) = 46.2$ cu. cm. Remaining volume $= 3080 - 46.2 = 3033.8$ cu. cm.

Step-by-step working

1
Volume of cylinder $= π (7)^{2} (20) = 3080$ cu. cm
1 mark
2
Volume of two cones $= 2 \times \frac{1}{3} π (2.1)^{2} (5) = 46.2$ cu. cm
1 mark
3
Remaining volume $= 3080 - 46.2 = 3033.8$ cu. cm
1 mark

Concepts used

volumecylinderconemensuration

Approach

Step-by-step working

Concepts used

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