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Question
The given figure shows a solid formed of a solid cube of side 40 cm and a solid cylinder of radius 20 cm and height 50 cm attached to the cube as shown.
Find the volume and the total surface area of the whole solid. [Take π = 3.14].
Solution
Edge of a cube = I = 40 cm
∴ Volume of a cube = I3 = (40)3 = 64000 cm3
Radius of a solid cylinder = r = 20 cm
Height of a solid cylinder = h = 50 cm
∴ Volume of cylinder = πr2h
= 3.14 × 20 × 20 × 50
= 62800 cm3
∴ Volume of whole solid = Volume of cube + Volume of cylinder
= (64000 + 62800) cm3
= 126800 cm3
Total surface area of the whole solid
= Total surface area of a cube + Curved surface area of a cylinder
= 6l2 + 2πrh
= 6 × (40)2 + 2 × 3.14 × 20 × 50
= 6 × 1600 + 6280
= 9600 + 6280
= 15880 cm2
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