What is the volume of material required to make a hollow cylinder having inner and outer radius as 2 cm and 3 cm respectively and height as 14 cm?

Open in App

Solution

Given: Inner radius $(r_{1})$ = 2 cm
Outer radius $(r_{2})$ = 3 cm
Height $(h)$ = 14 cm

Volume of material required = Volume of hollow cylinder
= outer volume - inner volume
$= π r_{2}^{2} h - π r_{1}^{2} h$ [where $r_{1}$ and $r_{2}$ represents inner and outer radius respectively]

$= π h (r_{2}^{2} - r_{1}^{2})$

$= \frac{22}{7} \times 14 \times [3^{2} - 2^{2}]$

$= \frac{22}{7} \times 14 \times 5$

$= 220 c m^{3}$

Suggest Corrections

Similar questions

Q. The height of the hollow cylinder is

10 c m

. What is the volume and surface area of a hollow cylinder with inner radius

3 c m

and outer radius

6 c m

? (Use

π = 3

Q. The height of the hollow cylinder is

12 c m

. Find the volume and surface area of a hollow cylinder with inner radius

2 c m

and outer radius

4 c m .

The difference between the inner surface area and the outer surface area of a hollow cylinder having height 7 cm and inner and outer radius of 3 cm and 4 cm respectively is:

Q. There is a hollow cylinder as shown in the figure having outer radius 7 cm, height 21 cm and inner radius 6 cm, whose inner and outer surfaces are to be painted. Calculate the area to be painted.

There is a hollow cylinder as shown in figure having an inner and outer radius as 7 cm and 14 cm respectively and height is 28 cm. A man wants to paint it completely inside out. The area which he needs to paint is equal to:

Join BYJU'S Learning Program