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Question

Find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40  cm .


Options:
A .  957` cm^2`
B .  967 `cm^2`
C .  977` cm^2`
D .  987` cm^2`
Answer: Option A

Volume = ` pi r^2 h = (22/7 xx  7/2 xx 7/2 xx 40) cm^3= 1540 cm^3`

Curved surface area  = `2pi r h` = `(2 xx 22/7 xx 7/2 xx 40) cm^2 = 880 cm^2`

Total surface area =  `2pi r h + 2 pi r^2 =  2 pi r(h + r)`

                              = `[2 xx 22/7 xx 7/2 xx (40 + 3.5)] cm^2 = 957 cm^2`      





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