The curved surface area of a cylinder is 264 m2 and its volume is 924 m3. Find the ratio of its height to its diameter.
The correct option is C. 37
Curved surface area of cylinder = 2πrh
Volume of a cylinder = πr2h
⇒πr2h2πrh=924264⇒r2=72
∴r=7 m
Curved surface area of cylinder = 2πrh
⇒2×227×7×h=264
⇒h=26444
∴h=6 m
So,h2r=614=37