Question

the lateral surface area of cylinder of length 14 m is 220 m² . find volume of cylinder

Answer 1

Given height h = 14m.

Given lateral surface area = 220

              2 * pi * r * h = 220

              2 * 22/7 * r * 14 = 220

              2 * 22 * r * 14 = 1540

              616 r = 1540

                    r = 1540/61

                      = 2.5 m.


Volume of cylinder = pi * r * r * h

                                 = 22/7 * (2.5) * (2.5) * 14

                                 = 275.


Hope this helps!

Answer 2

hi friend
here's your answer looking for

find the volume ,first we have to find the radius of the cylinder.

So,
according to the question,

LATERAL SURFACE AREA = 2πrh
$220 = 2 \times \pi \times r \times h \\ 220 = 2 \times \frac{22}{7} \times r \times 14 \\ 220 = 88r \\ r = \frac{220}{88} \\ r = 2.5m$
now, we have the radius.

so, let's find volume.

$volume = \pi {r}^{2} h \\ = \frac{22}{7} \times 2.5 \times 2.5 \times 14 \\ = 275 {m}^{3}$
hope you are satisfied with my answer