The volume of a cylinder is 471 cu. cm and its height is 6cm. What is its radius
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The volume of a cylinder is 150π cu.cm and its height is 6 cm. Find the areas of its total surface and lateral (curved) surface.
ANSWER
Volume of cylinder =150πcm
3
As we know that volume of the cylinder is given as-
V=πr
2
h
∴πr
2
h=150π
⇒r
2
=
6
150
⇒r=
25
=5
Therefore,
Lateral surface area =2πrh
=2×π×5×6
=60πcm
2
Total surface area =2πr(r+h)
=2×π×5×(5+6)
=110πcm
2
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