The volume of a cylindrical coffee can is begin mathsize 12px style 73.5 straight pi end style cubic inches. If its height is 6 inches, what is the radius of the can?


3.5 in.


3 in.


4 in.


4.5 in.

Respuesta :

Answer:

  3.5 in

Step-by-step explanation:

Put the given numbers in the formula for the volume of a cylinder, then solve for the unknown.

  V = πr²h

  73.5π = πr²·6 . . . . . fill in V and h

  12.25 = r² . . . . . . . . divide by the coefficient of r²

  3.5 = r . . . . . . . . . . . take the square root

The radius of the can is 3.5 inches.

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