Question

find Volume of cylinder which is made by rolling a rectangular sheet of size 44 cm*33 CM along its breadth

Answer 1

Sol:  Height of the cylinder formed (h) = Length of the paper = 11 cmCircumference of the base of the cylinder formed = breadth of the rectangle = 4 cm2πr = 4 2 × 22/7 × r = 4 r = 4 × 1/2 × 7/22 r = 7/11 cm Volume of the cylinder = πr2h = 22/7 x 7/11 x 7/11 x 11 = (22 x 7) / (11) = 2 x 7 = 14 cm3.

Answer 2

Here's your answer!!

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Side of the rectangular sheet is given ,

=>44cm ×33cm

So,

Area of rectangle sheet =Length ×Breadth

$= > 44 \times 33$

$= > 1452 \: {cm}^{2}$

To find the volume of the cylinder we will first have to find its radius .

Since,

Curved surface area will be equal to the area of rectangle sheet.

So,

$= > 2\pi \: r \: h = 1452$

$= > 2 \times \frac{22}{7} \times r \times 44 = 1452$

$= > \frac{2 \times 22 \times 44}{7} \times r = 1452$

$= > r = \frac{1452 \times 7}{2 \times 22 \times 44}$

$= > r = \frac{21}{4}$

Now,

Volume of cylinder=

$=>{\pi}^{2}rh$

$= > \frac{22}{7} \times \frac{21}{4} \times \frac{21}{4} \times 44$

$= > \frac{7623}{2}$

$= > 3811.5 {cm}^{3}$

Hence,

Volume of cylinder is 3811.5cm^3

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Hope it helps you!! :)