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Zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. Which equation can be used to find the area of the circular lid needed to cover the bird feeder?

Zula has a conical bird feeder with a volume of 643 cubic centimeters and a height of 7 centimeters Which equation can be used to find the area of the circular class=

Respuesta :

calculista

Answer:

[tex]64.3=\frac{1}{3}(B)(7)[/tex]

Step-by-step explanation:

we know that

The volume of a cone (bird feeder) is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base

h is the height of the cone

In this problem we have

[tex]V=64.3\ cm^{3}[/tex]

[tex]h=7\ cm[/tex]

substitute

[tex]64.3=\frac{1}{3}(B)(7)[/tex]

[tex]192.9=(B)(7)[/tex]

[tex]B=192.9/(7)=27.56\ cm^{2}[/tex]

The equation that can be used to determine the area of the circular lid needed to cover the bird feeder is 64.3 = 1/3 x b x 7.

What is the equation?

A cone is a three-dimensional shape that consists of a circular base and a vertex.

Volume of a cone = 1/3πr²h

Area of a circle = πr²

πr = 64.3 = 1/3 x b x 7

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

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