Respuesta :

Answer:

EXPLANATION.

Volume of a solid cylinder = 2156 cm³.

Height of cylinder = 14 cm.

As we know that,

Formula of:

Volume of cylinder = πr²h.

Using this formula in the equation, we get :-

πr²h = 2156

(22/7) x r² x 14 = 2156

22 x r² x 2 = 2156

44 x r² = 2156

r² = 49

r = √49

r = 7 cm

Radius of cylinder = 7 cm

As we know that,

Formula of:

Curved surface area of cylinder = 2πrh

Using this formula in the equation,

we get.

2 × (22/7) × 7 × 14

2 × 22 × 14 = 616 cm²

Curved surface area of cylinder = 616 cm².

MORE INFORMATION :-

(1) Volume of cuboid = L × B × H

(2) Volume of cube = a³

(3) Volume of cylinder = πr²h

(4) Volume of cube = 1/3πr²h

(5) Volume of hemisphere = 2/3πr³

(6) Volume of sphere = 4/3πr³

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Answer :

  • Curved surface area is 616 cm²

Step-by-step explanation :

Here we've been given with the volume of a solid cylinder and it's height that is 2156cm³ and 14cm respectively.

We need to calculate its curved surface area. So we even need it's radius to do that.

We will be finding out radius of the cylinder by using the formula of volume of cylinder and substitute the values in it.

★ Volume of cylinder :-

  • V = πr²h

Here,

  • h is height
  • r is radius
  • Value of π is 22/7

Substituting the values :

>> 2156 = (22 / 7) × (r)² × 14

>> 2156 = (22 / 1) × (r)² × 2

>> 2156 = 22 × (r)² × 2

>> 2156 = (r)² × 44

>> r² = 2156 / 44

>> r² = 196 / 4

>> r² = 98 / 2

>> r² = 49

>> r = √49

>> r = 7

★ Finding out curved surface area :-

  • C.S.A. = 2πrh

Here,

  • r is radius
  • h is height

Putting the values :

>> C.S.A. = 2 × (22 / 7) × 7 × 14

>> C.S.A. = 2 × (22 / 1) × 1 × 14

>> C.S.A. = 2 × 22 × 14

>> C.S.A. = 44 × 14

>> C.S.A. = 616

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