AP ICET 2017 Shift 2 Paper

Question : 105 of 200

Marks: +1, -0

The radius of a sphere and the radius of the base of a right circular cylinder are equal to r. If the ratio of the volume of the sphere to that of the cylinder is 8 : 3 then the height of the cylinder is

r
$r/2$
$r/4$
$r/8$

Validate

Solution:

According to the question,

{{4}/{3}πr^{3}}/{πr^{2}h}={8}/{3}⇒{4}/{3}{r}/{h}={8}/{3}⇒h={r}/{2}

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