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 curved surface area solution1  curved surface area solution1