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If the radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm3, then its radius is equal to (Take π = 22/7)
a) 5 cm
b) 7cm
c) 6 cm
d) 10 cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the radius and height of a cylinder are in the ratio 5 : 7 and its ...
The answer is c.
Let the radius = r = 5x and height = h = 7x
So, the volume of the cylinder = π r^2 h
= 22/7 x (5x)^2 x 7x
= 22/7 x 25x^2 x 7x
= 22 x 25x (cube) (7 gets cancelled)
But it is given that volume = 550 cm cube
 So, 22 x 25x (cube) = 550
x (cube) = 550 / 22 x 25
x(cube) = 1 ( as 22 x 25=550 and 550 is both in nm and dm)
x = 3
x = 1
so radius = 5x = 5 x 1 cm = 5cm (Ans.)
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If the radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm3, then its radius is equal to (Take π= 22/7)a) 5 cmb) 7cmc) 6 cmd) 10 cmCorrect answer is option 'A'. Can you explain this answer?
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