RRB Group D Model Paper 5 with solutions

Question : 83 of 100

Marks: +1, -0

The total surface area of a solid right circular cylinder is twice that of a solid sphere. If they have the same radii, the ratio between the volume of the cylinder and that of the sphere is given by_______.

9 : 4
2 : 1
3 : 1
4 : 9

Validate

Solution:

(1) According to the question:
2 πrh + 2π

r^2

= 8π

r^2

⇒ 2 πrh = 6π

r^2

⇒

h/r

= 3
Now, ratio between their volumes is:

{πr^2h}/{4/3πr^2}

3/4×h/r=9/4

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