The ratio of the radius of base and height of a cylinder is 3:5 .Its volume is 1215π cm^3. Find the radius and height of the cylinder.
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Let the radius of base be 3a
Height = 5a
Volume of cylinder = pi r^2 h
=> 1215 pi = pi × ( 3a)^2 × 5a
=> 1215 = 9a^2 × 5a
=> 243 = 9a^3
=> 27 = a^3
=> a = 3
Radius = 9 cm
Height = 15 cm
Height = 5a
Volume of cylinder = pi r^2 h
=> 1215 pi = pi × ( 3a)^2 × 5a
=> 1215 = 9a^2 × 5a
=> 243 = 9a^3
=> 27 = a^3
=> a = 3
Radius = 9 cm
Height = 15 cm
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