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Question:

Cylinder A has diameter 14 cm and height 7 cm, and cylinder B has diameter 7 cm and height 14 cm. Without calculation, tell which cylinder has a greater volume?

Solution:

Volume of cylinder A = (22/7 × 7² × 7/2) = 539 cubic cm
Volume of cylinder B = (22/7 × 7/2 × 7/2 × 14) = 1078 cubic cm
The volume of cylinder B is greater.
Surface area of cylinder A = (2 × 22/7 × 7/2 × 7/2 + 14) = 385 sq cm
Surface area of cylinder B = (2 × 22/7 × 7 × (7 + 7)) = 616 sq cm
The surface area of cylinder B is also greater than the surface area of cylinder A.