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A punch bowl is in the shape of a cylinder. the height of the punch bowel is 10inches and the diameter of the punch bowl is 14inches what is the volume of the punch you need to fill your punch bowl 1 inch from the top. use 3.14 and round to the nearest whole number

Respuesta :

Answer:

The volume of the punch bowl is 1385 cubic inches.

Step-by-step explanation:

Cylinder:

  • The volume of the cylinder is [tex]\pi r^2 h[/tex], where r is radius of the cylinder and h is height of the cylinder.
  • The lateral surface area is [tex]2\pi rh[/tex].
  • Total surface area is  [tex]2\pi r(r+h)[/tex].

Given that,

A punch bowl is in the shape of a cylinder.

The diameter of the punch bowl is 14 inches.

Then the radius of the punch bowl is [tex]=\frac{14}{2}[/tex] = 7 inches.

The height of the punch bowl is = 10 inches.

The punch bowl is need to fill 1 inch from the top.

So, we need to fill the punch bowl = (10-1) =9 inches.

The volume of the punch bowl is = [tex]\pi r^2 h[/tex]

                                                       [tex]=(3.14 \times 7^2\times 9)[/tex] cubic inches

                                                      ≈1385 cubic inches.

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