1. the value of the surface area of the cylinder is equal to the value of the volume of the cylinder. find the value of x.

2. find the surface area and the volume of the cylinder.

x = 4.5

Surface area of the cylinder = 183.1248

Volume of Cylinder = 183.1248

Step-by-step explanation:

Volume of Cylinder = πr²h

And Surface Area of Cylinder = 2πr( r + h)

where, r is radius of cylinder =

and h = height of cylinder = x (unknown)

1. Surface area of the cylinder = Volume of the cylinder

⇒ πr²h = 2πr( r + h)

⇒ rh = 2(r + h)

⇒

⇒ 36x = 72 + 20x

⇒ 16x = 72

⇒ x = 4.5

2. Surface Area of Cylinder = 2πr( r + h)

And, Volume of Cylinder = πr²h

= 3.14 × 3.6 ×3.6 × 4.5

= 183.1248

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step-by-step explanation:

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