Question

the lateral surface area of cylinder of length of 14 m 220msquare .find the volume of cylinder​

Answer 1

Answer:

Here is your answer....

Step-by-step explanation:

Given height h = 14 m.

Given lateral surface area = 220

             2 X pi X r X h = 220

              2 X 22/7 X r X 14 = 220

             2 X 22 X r X 14 = 1540

                  616 r = 1540

                     r = 1540/61

                         = 2.5 m.

Volume of cylinder = pi X r X r X h

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

                                   = 275.

Answer 2

Given

• The Lateral Surface Area of the cylinder is 220m sq.
• The height (length) of the cylinder is 14m

To find:

• The Volume of the cylinder

The value of the radius (r) of the cylinder is not given, and it is needed to find the volume of the cylinder.

We can find the radius of the cylinder by the Lateral Surface Area of the cylinder.

• The Lateral Surface area of the cylinder = 2πrh units sq.

⇒ 220 = 2 * 22/7 * r * 14

⇒ 220 = 2 * 22 * r * 2

⇒ 220 = 88 * r

⇒ 220 ÷ 88 = r

⇒ 2.5 m = r

Thus,

The radius of the cylinder is 2.5 m

Now,

The formula to find the volume of the cylinder = πr²h units cube.

= 22/7 * (2.5)² * 14

= 22/7 * 6.25 * 14

= 22 * 6.25 * 2

= 44 * 6.25

= 275 m cube.

Hence,

• The volume of the cylinder is 275 m cube.