Mrs. Hartka is packaging soup in cylindrical cans. She calculated the volume of soup to be 325 cubic centimeters per can. The area of the base of each can is 25 square centimeters. What is the height to which Mrs. Hartka fills each can with soup?

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17-04-2020
Mathematics

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Mrs. Hartka is packaging soup in cylindrical cans. She calculated the volume of soup to be 325 cubic centimeters per can. The area of the base of each can is 25 square centimeters. What is the height to which Mrs. Hartka fills each can with soup?

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monica789412 monica789412 · Answer 1 · 2020-04-23T07:51:28+02:00

The height of each soup can is 4.138 centimeters, if the the volume of soup to be 325 cubic centimeters per can and the area of the base of each can is 25 square centimeters.

Step-by-step explanation:

The given is,

The volume of soup to be 325 cubic centimeters per can.

The area of the base of each can is 25 square centimeters.

Step: 1

Formula to calculate the volume of cylidrical soup can,

[tex]Volume, V = Bh[/tex]............................(1)

Where, B - Base area of cylidrical soup can

h - Height of cylindrical soup can

Step: 2

From the given values,

Base area, B = 25 square centimeters

Volume, V = 325 cubic centimeters

Equation (1) becomes,

325 = ( 25 ) (h)

h = [tex]\frac{325}{25}[/tex]

= 13 centimeters

Height of cylindrical soup can, h = 13 centimeters

Result:

The height of each soup can is 4.138 centimeters, if the the volume of soup to be 325 cubic centimeters per can and the area of the base of each can is 25 square centimeters.