Curved Surface Area Solution1





In this page curved surface area solution1 we are going to see solution of some practice questions.

Question 1

A solid right circular cylinder has radius of 14 cm and height of 8 cm. Find its curved surface area and total surface area.

Solution:

Radius of the cylinder (r) = 14 cm

Height of the cylinder (h) = 8 cm

Curved surface area of cylinder = 2 Π r h

                                             = 2 x (22/7) x 14 x 8

                                             = 2 x 22 x 2 x 8

                                             = 704 sq.cm

Total surface area of cylinder = 2 Π r (h + r)

                                             = 2 x (22/7) x 14 x (8 + 14)

                                             = 2 x (22/7) x 14 x 22

                                             = 2 x 22 x 2 x 22

                                             = 1936 sq.cm

Curved surface area = 704 sq.cm

Total surface area = 1936 sq.cm


Question 2

The total surface area of a solid circular is 660 sq.m If its diameter of the base is 14 cm. Find the height and curved surface area of the cylinder.

Solution:

radius of the cylinder = 14/2 = 7 cm

Total surface area of cylinder = 660 sq.m

2 Π r (h + r) = 660 sq.m

2 x (22/7) x 7 x (h + 7) = 660

                        h + 7 = 660 x (1/2) x (7/22) x (1/7)

                        h + 7 = 15

                            h = 15 - 7

                            h = 8 cm

Curved surface area of cylinder = 2 Π r h

                                             = 2 x (22/7) x 7 x 8

                                              = 352 Sq.cm

Height = 8 cm

Curved surface area = 352 sq.cm


Question 3

Curved surface area and circumference at the base of a solid right circular cylinder are 4400 sq.cm and 110 cm respectively. Find its height and diameter.

Solution:

Curved surface area of cylinder = 4400 sq.cm

Circumference of the base = 110 cm

                       2 Π r =  110

          2 x (22/7) x r = 110

                            r = 110(1/2)(7/22)   

                            r = 17.5 cm

                 diameter = 2 r

                              = 2 (17.5)

                              = 35 cm

                   2 Π r h  =  4400

               110 x  h = 4400

                        h = 4400/110

                        h = 40 cm


Height = 40 cm

Diameter of the cylinder = 35 cm

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