If the surface area of a cylindrical tank is 1848 m^2 and the diameter of its base is 14 m, then fin

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07 Jan 2021 Volume

If the surface area of a cylindrical tank is 1848 m^2 and the diameter of its base is 14 m, then find the volume of the tank.

OPtion

1) 5000
2) 5500
3) 5350
4) 5460
5) 5450
6) 5390
7) 5875
8) 5900
9) 5535
10) None of the above

Solution

Surface area of cylinder = 2πrh + 2πr2
(2 x 22/7 x 7 x h) + (2 x 22/7 x 7 x 7) = 1848
44h + 308 = 1848
44h = 1540
h = 1540/44 = 35 m
Volume => πr2h = 22/7 x 7 x 7 x 35
= 5390 m3

Correct Option: 6 Best Solution (2)