Question

a rectangular paper of width 28 cm is rolled along its width to form a cylinder of radius 30 cm.find the volume of the cylinder.
Plz give me solution
Its urgent.

Answer 1

Height=28cm

Radius=30cm

Volume of a cylinder=πr^2h

=22/7×30×30×28

=79200cm^3

Answer 2

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 -

According to Question the rectangular paper is rolled from its Width therefore

Height of Cylinder = 28cm

Now We know that

$\boxed{\mathbf{Volume\: of \:Cylinder \:= \pi r^2 h}}$

Where ,

H = Height = 28cm

H = Height = 28cm R = Radius = 30cm

Now Putting Values in the above formula we have

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

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

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

We have ,

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

Cancelling denominator 7 with numerator 28cm we have

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

$\mathbf{ = 22 \: 4cm \times 900{cm}^{2} }$

$\mathbf{ = 88cm \times 900{cm}^{2} }$

$\therefore \sf{We \: have}$

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

Hence Required Answer =

$\boxed{\mathbf{79,200{cm}^{3}}}$