The area of the curved surface of a cylindrical can is 162 π square centimeters and it’s height is 9 centimeters. What is the diameter of the can?

Respuesta :

Answer:

Diameter of the can = 18 Cm

Step-by-step explanation:

Given:

Curved surface of cylindrical can = 162[tex]\pi[/tex]

Height of cylindrical can = 9 Cm

Find:

Diameter of the can = ?

Computation:

Curved surface of cylindrical can = 2[tex]\pi[/tex]rh

[tex]162\pi = 2\pi rh\\\\\frac{162\pi }{2\pi }= r\times 9\\\\81 = r\times 9\\\\\frac{81}{9}=r[/tex]

[tex]r=9 Cm[/tex]

Diameter of the can = 2×r

Diameter of the can = 2×9 Cm

Diameter of the can = 18 Cm