Question

The volume and CSA of a cylinder is 2310 cm and 660 cm respectively find its base radius and height

Answer 1

first find the value of rh

Answer 2

The base radius and height of cylinder are 7 cm and 15 cm respectively

Let

     r = radius of base of cylinder

     h = height of cylinder

Given,

     Volume of cylinder = 2310 cm

      $\frac{\pi r^{2} h}{2\pi rh }  = \frac{2310}{660}$ = 2310 ---------(1)

     CSA of cylinder       = 660 cm

      $2\pi rh$      = 660 cm -----(2)

(1)/(2)

       $\frac{\pi r^{2} h}{2\pi rh} = \frac{2310}{660}$

                                                r/2 = 3.5

                                                r = 3.5 x 2

                                                r = 7 cm

Substitute r in (2)

         2(3.14)(7)h = 660

              h = 330/21.98

              h = 15.01 cm