Question

The volume of a cylinder is 6358 cm3 and its height is 28cm. Find its radius and the curved surface area.​

Answer 1

Answer:

here the simple and easy understand answer

Step-by-step explanation:

given,

volume of cylinder = $6358cm^3$    , height is = $28cm$.

volume of cylinder formula = $\pi r^2 h$

                                 $=> \pi r^2h = 6358 cm^3$

                                 $=> \pi r^2(28) = 6358$                             [∵height = 28cm]

                                 $=> r^2 (3.14)(28) = 6358$                       [∵ we know $\pi$ = 3.14]

                                 $=> r^2 (87.92) = 6358$

                                 $=> r^2 = \frac{6358}{87.92} = 72.315 => r^2 = 72.315$

                                 $=> r = \sqrt {72.315}$

                                 $=> r=8.503$

      ∴  The radius of cylinder is r = 8.503...

And to find surface area of cylinder,

              we know h = 28cm , r = 8.503

surface area of cylinder formula = $2\pi rh$

                                                      $=2(3.14)(8.503)(28)$  [∵ h = 28cm, r = 8.503

                                                                                            $\pi$ = 3.14]

                                                      = $1495.16752cm^2$