15. Height of a right circular cylinder is twice of its radius. If the height would be 6 times of its radius, then the volume of the cylinder would be greater by 539 cubic dcm, let us write by calculating the height of the cylinder.
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Answer:
7cm
Step-by-step explanation:
Given that, if r be the radius of base of a right circular cylinder and h be its height, then
h = 2r
and volume, v = π r2 h
= 2 π r3
Also given that, If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cm3 more, i.e. h = 6r
Then, V = π r2 h’
⇒ V = 6π r3
⇒ 2 π r3 + 539 = 6π r3
⇒ 4π r3 = 539
⇒ r = 7/2 cm
Hence, h = 2r = 7cm
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