The ratio of the curved surface area and the total surface area of a cylinder is 2:3. Find the volume of the cylinder if it is given that the height of the cylinder is 6 cm.
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Ratio of CSA and TSA
== 2πrh : 2πr(r+h)
== h:r+h
Given ratio == 2:3
h/r+h = 2/3
== 3h = 2r+2h
== h = 2r
Height of the cylinder = 6cm
therefore Radius = 3cm
Volume of cylinder = πr²h == 22/7 × 9× 6 cm³ == 169.64 cm³
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