Question

4. Charvi just finished her exams and she was making a programme to have anouting with parents. They went to a restaurant for a dinner. She saw that a quizpaper is placed on the table so that as food is served children can use their timein working out different quizzes. Charvi got interested in one of the quizzes whichreads as:A rectangular sheet of paper 44 cm * 18 cm given. First it is asked to roll alongthe length to form a cylinder and then along the breadth to form a cylinderCharvi asked her father which out of the two has more capacity, arguments andcounter arguments started. In the meantime food was served. Can you solve theirproblem?​

Answer 1

The capacity of cylinder is more if it is rolled along the length= 2772 cm³

Step-by-step explanation:

let the radius be r

rectangular sheet of paper 44 cm * 18 cm given

(1) if it is rolled  along the length

then height of the cylinder = 18 cm

circumference = 44 cm

$2\pi r = 44$

$2\times \frac{22}{7} \times r = 44$

on solving r = 7 cm

then volume of the cylinder = $\pi r^2h$

= $\frac{22}{7} \times 7\times 7 \times 18$

= 2772 cm³

(2) if it is rolled along its breadth

then height = 44 cm

circumference = 18 cm

$2\pi r = 18$

$2\times \frac{22}{7} \times r = 18$

r= 2.86 cm

volume of cylinder = $\pi r^2h$

= $\frac{22}{7} \times 2.86\times 2.86 \times 44$

= 1131.12 cm³

the capacity of cylinder is more if it is rolled along the length

hence,

The capacity of cylinder is more if it is rolled along the length

#Learn more:

https://brainly.in/question/3044083

Answer 2

Answer:

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