Question

A rectangular sheet of paper, 44 cm X 18 cm, is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.

Answer 1

Step-by-step explanation:

when the paper is folded, length becomes the circumference of the circle. so,

circumference of circle =

$2 \times \pi \times r \: = \: 44 \\ 2 \times (22 \div 7) \times r \: = \: 44 \\ (22 \div 7) \times r = 22 \\ r = 7$

Now, volume of cylinder

$\pi \times {r }^{2} \times h \\ (22 \div 7) \times {7}^{2} \times 18 \\ (22 \div 7) \times 49 \times 18 \\ 22 \times 7 \times 18 \\ 22 \times 126 \\ {2772cm}^{3}$