Question

the dia meter of cylinder is 28 cm and its height is 40 cm .find the curved surface are , total surface area , volume of cylinder ​

Answer 1

Find out the curved surface area,total surface area, and the volume of the cylinder .

To proof

As given

The diameter of a cylinder is 28cm and its height is 40cm.

Radius of the cylinder

$= \frac{28}{2}$

=14 cm

Formula

$Curved\ surface\ area\ of\ a\ cylinder = 2\pi r h$

where r = radius, h = height

$\pi = \frac{22}{7}$ , r = 14cm , h =40 cm

put in the formula

$= \frac{2\times22\times14\times40}{7}$

= 3520 cm²

Formula

$Total \ surface\ area = 2 \pi r (r + h)$

put the value

$\pi = \frac{22}{7}$ , r = 14cm , h =40 cm

we get

$= \frac{2\times22\times14 (14 +40)}{7}$

$= \frac{2\times22\times14\times54}{7}$

= 4752cm²

Formula

$Area\ of\ cylinder = \pi r^{2} h$

put

$\pi = \frac{22}{7}$ , r = 14cm , h =40 cm

$= \frac{22\times14\times14\times40}{7}$

=24640 cm³

Hence proved

Answer 2

Answer:

curved surface area=

Step-by-step explanation:

curved surface area = A=πr^2

A= π*14^2

=615.75cm

total surface area = 2πrh+2πr^2

=2(615.75) +3518.58

=1231.5+3518.58

=4750.3cm^2

volume = V=πr^2*h

=24630.09cm^3