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Aptitude · Q128

Mensuration 3d

Competitive Exams · Aptitude · question 128

Q128

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
Answer
D.
4804 cm3

Answer: Option C

Solution

Answer: Option C
Solution:
Mensuration 3D mcq question image
r + h = 20 . . . . . . (i)
Total surface area = 880
2πr(h + r) = 880
2 × × r × 20 = 880
r = 7, h = 13
Volume = πr2h
= × 7 × 7 × 13
= 154 × 13
= 2002 cm3