Question

If the lateral surface area of a right circular cylinder is c. square unit, length of radius of base is r unit and volume is V cubic-unit. Find the value of `cr/V` .

Answer 1

Let the height of the cylinder be h units.
As per question, `c=2 pi r h ` . . . . . . (1)
`V= pi r^(2) h ` . . . . . . . . (2)
`:. (cr)/(V)=(2 pi r h xx r)/( pi r^(2) h) = (2 pi r^(2) h)/( pi r^(2) h) = 2 `.
Hence the required value of `( cr)/(V) =2`.