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?

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Solution

We know that the curved surface area of a right circular cylinder with radius $r$ and height $h$ is $C S A = 2 π r h$ .

It is given that the height of the pen holder is $h = 14$ cm and the radius of the pen holder is $5$ cm, therefore,

$C S A = 2 π r h = 2 \times \frac{22}{7} \times 5 \times 14 = 440$ cm $^{2}$

Therefore, cardboard required for each student is $440$ cm $^{2}$ .

Also, it is given that total number of students in the class is $42$ ,

Therefore, total cardboard required for $42$ students is:

$440 \times 42 = 18480$ cm $^{2}$

Hence, $18480$ cm $^{2}$ cardboard was consumed.

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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 5cm and height 14cm, how much cardboard was consumed?

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?