Examveda

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

A. 1760 cm3

B. 8800 cm3

C. 2002 cm3

D. 4804 cm3

Answer: Option C

Solution (By Examveda Team)

Mensuration 3D mcq question image
r + h = 20 . . . . . . (i)
Total surface area = 880
2πr(h + r) = 880
2 × $$\frac{{22}}{7}$$ × r × 20 = 880
r = 7, h = 13
Volume = πr2h
= $$\frac{{22}}{7}$$ × 7 × 7 × 13
= 154 × 13
= 2002 cm3

This Question Belongs to Arithmetic Ability >> Mensuration 3D

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