If we have a cardboard sheet of area $32 π m^{2}$ and we are supposed to create a cylindrical pen holder of radius $2 m$ and height $3 m$ , then how many pen holders can be created using the provided cardboard sheet?
2

Open in App

Solution

The correct option is A 2
Given that, radius of the pen holder is $2 m$ .
Height of the pen holder is $3 m$ .
Area of the given cardboard sheet is $32 π m^{2}$ .

We know that, curved surface area of a cylinder
$= 2 π r h$
Area of a circle $= π r^{2}$

Now, area of the cardboard sheet required to make 1 pen holder
$= 2 π r h + π r^{2}$
$= 12 π + 4 π$
$= 16 π m^{2}$

Thus, total number of pen holders that can be created
$= \frac{Area of cardboard sheet}{Cardboard sheet required to make 1 pen holder}$
$= \frac{32 π}{16 π}$
$= 2$

Suggest Corrections

Similar questions

Q. If we have a cardboard sheet of area

32 π m^{2}

and we are supposed to create a cylindrical pen holder of radius

2 m

and height

3 m

, then how many pen holders can be created using the provided cardboard sheet?

If we have a cardboard sheet of area $32 π m^{2}$ and we are supposed to create a cylindrical pen holder of radius $2 m$ and height $3 m$ , then how many pen holders can be created using the provided cardboard sheet?

Q. Craft teacher of a school taught the students to prepare cylindrical pen holders out of card board. In a class of strength

42

, if each child prepared a pen holder of radius

5

cm and height

14

cm, how much cardboard was consumed?

The students of a Vidyalaya were asked to participate in a competition for making and decorating pen holders in the shape of a cylinder with a base, using cardboard. Each pen holder was to be of radius $3 c m$ and height $10.5 c m$ . The Vidyalaya was to supply to the competitors with cardboard. If there were $35$ competitors, how much cardboard was required to be bought for the competition?

A total of $35$ pen stands is to be made using cardboard in a competition each pen stand has to be of a cylinder of radius $3 c m$ and height $10.5 c m .$ Find the total area of cardboard required [Take $π = \frac{22}{7}]$

Join BYJU'S Learning Program

If we have a cardboard sheet of area 32π m2 and we are supposed to create a cylindrical pen holder of radius 2 m and height 3 m, then how many pen holders can be created using the provided cardboard sheet?2

If we have a cardboard sheet of area $32 π m^{2}$ and we are supposed to create a cylindrical pen holder of radius $2 m$ and height $3 m$ , then how many pen holders can be created using the provided cardboard sheet?
2