Question

find the volume of a cylinder which is made by Rolling a rectangular sheet of size 44 cm into 33 CM along with breath

Answer 1

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!! :)

Answer 2

the answer is -2156 cu.cm