QUESTIONS ON SURFACE AREA OF CYLINDER

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 ⋅ (22/7)  14 ⋅ 8

=  2  22  2  8

=  704 sq.cm

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

=  2  (22/7) ⋅ 14 ⋅ (8 + 14)

=  2 ⋅ (22/7)   14 ⋅ 22

=  2 ⋅ 22 ⋅  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

 (22/7)  7  (h + 7)  =  660

h + 7  =  660  (1/2)  (7/22)  (1/7)

h + 7  =  15

h  =  8 cm

Curved surface area of cylinder = 2 Π r h

=  2 ⋅ (22/7)  7 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

 (22/7) ⋅ 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  h  =  4400

h  =  4400/110

h  =  40 cm

Height  =  40 cm

Diameter of the cylinder  =  35 cm

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Problems on Finding Derivative of a Function

    Mar 29, 24 12:11 AM

    Problems on Finding Derivative of a Function

    Read More

  2. How to Solve Age Problems with Ratio

    Mar 28, 24 02:01 AM

    How to Solve Age Problems with Ratio

    Read More

  3. AP Calculus BC Integration of Rational Functions by Partical Fractions

    Mar 26, 24 11:25 PM

    AP Calculus BC Integration of Rational Functions by Partical Fractions (Part - 1)

    Read More