Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 15 inches, and the radius of Pot B is 3 inches. What is the ratio of the volume of Pot A to the volume of Pot B

Respuesta :

The ratio of the volume of pot A to that of pot B = 25:1.

What is the volume of a cylinder?

The volume of a cylinder having radius 'r' and height 'h', is equal to [tex]\pi r^{2} h[/tex].

Given:

  1. Height of pot A = Height of pot B = h (let)
  2. Radius of pot A = 15 inches
  3. Radius of pot B = 3 inches

Volume of pot A = [tex]\pi (15)^{2}h=225\pi h[/tex] = V1 (let)

Volume of pot B = [tex]\pi (3)^{2} h=9\pi h[/tex] = V2 (let)

Then [tex]\frac{V1}{V2} = \frac{225\pi h}{9\pi h}=\frac{225}{9}=25[/tex]

Hence, the ratio of volume of pot A to that of pot B is 25:1.

To learn more about the volume of a cylinder, refer to the link: https://brainly.com/question/23935577

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