If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm2 t...........

Quantitative Aptitude (CGL) Mensuration 3D

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If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm2 then its volume is

1760 cm³

8800 cm³

2002 cm³

4804 cm³

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Explanation:

Let radius of the cylinder= r m
Height = h m
Given (r+h)=37m
Total surface area= 2*pi*r(r+h)=1628
2*22/7* r*37=1628
r=(1628*7)/(2×22×37)
After cancellation
r=7 m
r+h =37
7+h=37
h=30m
i) csa of the cylinder=2*pi*r*h
=2*22/7*7*30
=1320 m^2
Voume =pi*r^2*h
=22/7*7*7*30
=4620m^3