# 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? - Mathematics

MCQ

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?

#### Options

• $2\pi r (r + h)$

• $\pi r (r + 2h)$

• $\pi r + (2r + h)$

• $2 \pi r^2 + h$

#### Solution

Let S be the total surface area of the closed cylinder with radius r and height h, then

S = 2pir^2 + 2pirh

⇒ S = 2 pi r ( r + h)

Concept: Surface Area of Cylinder
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.4 | Q 17 | Page 29

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