Question

A rectangle paper of width 28cm is rolled along its width to form a cylinder of radius 30cm Find volume of the cylinder​

Answer 1

Answer:

Given

Width of a rectangular paper = 28cm

Now the rectangular paper is rolled along with its width to form a cylinder of radius = 30cm

solution

A/q

the rectangular paper is rolled from its Width therefore

Height of Cylinder = 28cm

We know that

\boxed{\mathbf{Volume\: of \:Cylinder \:= πr^2 × h}}VolumeofCylinder=πr2×h

Where ,

H = Height = 28cm

H = Height = 28cm R = Radius = 30cm

Now Putting Values in the above formula we have

\mathbf{Volume = \pi \: {30cm}^{2} \times 28cm}Volume=π30cm2×28cm

\mathbf{= \pi \: 900{cm}^{2} \times 28 cm }=π900cm2×28cm

Now Putting value of ' π ' = 22 / 7 Approx

We have ,

\mathbf{Volume = \dfrac{22}{7}\: 900{cm}^{2} \times 28cm}Volume=722900cm2×28cm

Cancelling denominator 7 with numerator 28cm

we have ,

\mathbf{Volume = \dfrac{22}{\cancel{7}} \times \cancel{28cm} \times 900\:cm^2}Volume=722×28cm×900cm2

\mathbf{ = 22 \: 4cm \times 900{cm}^{2} }=224cm×900cm2

\mathbf{ = 88cm \times 900{cm}^{2} }=88cm×900cm2

\therefore \sf{We \: have}∴Wehave

\boxed{\mathbf{Volume = 79,200{cm}^3}}Volume=79,200cm3

Hence Required Answer =79,200cm3