Question

a rectangular sheet of paper of dimensions 25cm x 22 cm is rolled along it's width to form a cylinder. Find the volume of the cylinder so formed.​

Answer 1

Step-by-step explanation:

Dimensions of rectangular sheet of paper= 25 cm ×22 cm

means; Length = 25 cm, Breadth= 22 cm

$\because \: the \: paper \: is \: being \: rolled \: \\ with \: its \: width. \: so \\ \: the \: perimeter \: of \: base \: of \: cylinder = \: 22 \: cm \\ 2\pi \: r = 22 \: cm \\ 2 \times \frac{22}{7} \times r = 22 \: cm \\ r = \: \frac{22 \times 7}{2 \times 22} \: cm \\ r = \frac{7}{2} \: cm \\ and \: height \: of \: cylinder = \: length \: of \: paper \\ h= 25 \: cm \\ volume \: of \: cylinder = \: \pi \: {r}^{2} h \\ = \frac{22}{7} \times { (\frac{7}{2} )}^{2} \times 25 \: {cm}^{2} \\ = \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 25 \: {cm}^{2}\\ = \frac{11 \times 7 \times 25}{2} \: {cm}^{2} \\ = \frac{77 \times 25}{2} \: {cm}^{2} \\ = \frac{1925}{2} \: {cm}^{2}\\ = 962.5 \: {cm}^{2} \\ \implies \: volume \: of \: cylinder = 962.5 \: \: {cm}^{2}$

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