Question:Find  the volume and total surface  area of a right  circular cylinder , the radius of whose base  is 4 cm and whose height is 5 cm  ( Take `pi` to be 3.142) . 

Answer The volume =`pi r^2`h=`pi(4)^2 5 cm^3`

                   = 80`pi cm^3`.

                   = 251.36 `cm^3`

                   = 251 `cm^3`

 The area of the curved  surface = 2`pi`rh

                                 = 2`pi`(4)(5) `cm^2`  

                                 = 40`pi cm^2`.

The area of each end = `pir^2`=`pi(4)^2 cm^2` = 16`pi cm^2`.

The total surface area =(40`pi`+32`pi`) `cm^2`

                                   = 72`pi cm^2`

                                   =226.224 `cm^2`

                                   226 `cm^2` 

+ ExplanationNot Moderated
The cylinder has two circular ends,each of area `pi r^2`.

There the total surface  area of a cylinder is 2`pi`rh+2`pir^2`  or 2`pi`r (h+r)

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Mohammad Jahidul Islam

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