12. The surface area of the soup can below is 51.84 in. If the

diameter of the can is 3 inches, find the height of the can.

Given: r=1.5

Given: 51.84=2pi(1.5)(h)+2pi(1.5squared)

The height of the can is 4 inches.

Step-by-step explanation:

Cylinder:

Given that, the surface area of the soup can is 51.84 in².

The diameter of the can is 3 inches.

Then, radius of the can

                                      inches

                                      =1.5 inches

Total surface area of the cone is = 2πrh+2πr²

                                                      in².

                                                       in².

                                                      =3π(h+1.5)  in².

So,

3π(h+1.5)=51.84

⇒h=5.5-1.5

⇒h=4 inches

The height of the can is 4 inches.

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