You work in the packaging department of a company that makes soup. the old soup can is 4 inches high and has a diameter of 3 inches. your department is asked to design a bigger soup can that will hold one-and-a-half times as much soup as the old can. find the height of the bigger soup can if the diameter stays the same. the height of the new can will be in?

Step-by-step explanation:

step 1

Find the volume of the old can

The volume of the can is equal to

we have

----> the radius is half the diameter

substitute

step 2

Find the volume of the bigger can

Multiply the old volume by 1 1/2

so

step 3

Find the height of the bigger can

we have

substitute in the formula

add an !

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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