Respuesta :

Volume

36π = πr^2*(9) ; Divide both sides by π and 9

4 = r^2 ; Take the square root of both sides

2 = r

Surface area

= 2π(2)(9) + 2π(2)^2

= 4π(9) + 2π(4)

= 36π + 8π

= 44π

Answer:

44π square units.

Step-by-step explanation:

The volume

36 = π r^2 h

36 = 9π r^2

π r^2 = 36/9 = 4π  ( = the area of the base).

Now r^2 =  4

and r = 2.

So the circumference of the base =  2 * π * 2.

=  4π.

The area of the curve surface = 9 *  4π

= 36π.

The surface are of the cylinder = 2 * area of the base + area of the curved surface

=  2 * 4π + 36π

=  44π square units.

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