Math, asked by nicolecoopers322, 1 year ago

The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq metres. Find its volume

Answers

Answered by omprakashpooja300
27

Answer:


Step-by-step explanation:

Let r and h are the radius and height of the cylinder respectively


Sum of radius and height = 37


                          r + h = 37 cm


Total surface area of cylinder = 1628 sq.cm


                      2 Π r (h + r) = 1628


                       2 Π r (37) = 1628


                       2 Π r  = 1628/37


                       2 Π r  = 44


           2 x (22/7) x r = 44


                            r = 44 x (1/2) x (7/22)


                            r = 7


                   7 + h = 37


                         h = 37 - 7


                         h = 30 cm


Volume of the right circular cylinder =  Π r² h


                                                  = (22/7) x (7)² x (30)


                                                  = (22/7) x (7) x (7) x (30)


                                                  = (22) x (7) x (30)


                                                  = 4620 cm³


Volume of cylinder = 4620 cm³


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