A cylinder with radius $r$ and height $h$ is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder?

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Solution

Given: Radius of cylinder is $r$ and height is $h$
$∵$ Total surface area of the cylinder
$=$ curved surface area $+ 2 \times base area$
$= 2 π r h + 2 π r^{2} = 2 π r (r + h)$
Hence, option $(A)$ is the correct answer.

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A cylinder with radius r and height h is closed on the top and botton. Which of the following expressions represents the total surface area of this cylinder ?

(a) $2 π$ r(r+h) (b) $π$ r(r+2h)

Q. A cylinder with radius r and height h is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder?

(a)

2 πr (r + h)

(b)

πr (r + 2 h)

(c)

πr + (2 r + h)

(d)

2 {πr}^{2} + h

Question 44

Total surface area of a cylinder of radius h and height r is ___

Q. A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is _______.

Total surface area of a solid cylinder of height 'h' and radius 'r', which is open from the top is $2 π r (h + r)$ .

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Area of Circle

Standard VIII Mathematics

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A cylinder with radius r and height h is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder?

Given: Radius of cylinder is r and height is h ∵ Total surface area of the cylinder = curved surface area +2×base area =2πrh+2πr2=2πr(r+h) Hence, option (A) is the correct answer.

A cylinder with radius $r$ and height $h$ is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder?

Given: Radius of cylinder is $r$ and height is $h$
$∵$ Total surface area of the cylinder
$=$ curved surface area $+ 2 \times base area$
$= 2 π r h + 2 π r^{2} = 2 π r (r + h)$
Hence, option $(A)$ is the correct answer.