The ratio of the diameter of base and height of a cylinder is 3 : 5. Find the radius of the cyliner if the approximate volume of cylinder-is `5263 cm^3`?

Options

A. `21/2cm`
B. `7/2 cm`
C. `21 cm`
D. `7.93 cm`

Answer

D

Explanation

Let diameter of base be 3x cm & height of cylinder be 5x cm
`:." radius"=(3x)/2=1.5x cm`
we know,
Volume of cylinder `=pir^2h (r to"radius", hto"height")`
ATQ,
`pir^2h=5263`
`22/7xx(9x^2)/4xx5x=5263`
`x=5.29 cm`
Radius = 7.93 cm