Question

The curved surface of a cylinder is 250cm2 . If the cylindr is 12 cm high, find its volume

Answer 1

Answer:

Step-by-step explanation:

We know that

Curved Surface Area of a Cylinder = 2πrh

Height = 12cm

         2πrh    = 250cm²

           πrh    = 250/2

           πrh    = 125

22/7 x 12 x r = 125

22 x 12 x r    = 125 x 7

264r             = 875

                  r = 875/264

                  r = 3.31

We know that Volume  =  πr²h

                                      = 22/7 x (3.31)² x 12

                                      = 22/7 x 3.31 x 3.31 x 12

                                      = 22/7 x 10.956 x 12

                                      = 22/7 x 131.47

                                      = 2892.34 ÷ 7  

                                      = 413.19 cm³

∴ The Volume of the cylinder is 413.19 cm³

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