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13. Surface Areas and Volumes
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Q25 of 32 Page 13

Find the Total surface area and volume of a cone whose height is 28 cm and diameter is 42 cm.

Radius = 42 cm ÷ 2 = 21 cm, h = 28 cm
Total surface area = π r (l + r) = × 21 (35 + 21) cm2 = 3696 cm2
Volume of cone = π r2h = × × 21 × 21 × 28 = 12, 936 cm2

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2.15 m × 1.5 m × 1.1 m. Find the capacity of the tank, and the volume of steel used to construct it. Also find the total surface area of the tank.
24 A rectangular piece of paper of width 20 cm and length 44 cm is rolled along its width to form a cylinder. What is the volume of the cylinder so formed? 26 A tent is cylindrical in shape with a conical top above it. The radius of the base of the tent is 7m. The height of the cylindrical part is 20 m and the height of the conical part is 4 m. Find the volume of air in the tent. 27 Find the volume of a sphere whose radius is 2.1 cm.
Questions · 32
13. Surface Areas and Volumes
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