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Alborosie
4 years ago
13

An ice cream company wants to package a pint of ice cream in a circular cylinder that is 4 inches high. A pint is 16 fluid ounce

s and 1 fluid ounce is 1.8 cubic inches. What does the radius of the base circle Have to be?
Mathematics
1 answer:
Natasha_Volkova [10]4 years ago
4 0

Answer:

<u>The radius of the base circle has to be 1.51 inches</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the ice cream package = 4 inches

Volume of the ice cream package = 1 pint = 16 fluid ounces

2. What does the radius of the base circle have to be?

Let's calculate the volume of the ice cream package, as follows:

16 fluid ounces = 16 * 1.8 inches³

Volume = 28.8 inches³

Let's recall the formula of the volume of a cylinder:

Volume = π * r² * h

Replacing with the values we have:

28.8 = 3.1416 *  r² * 4

28.8 = 12.57 r²

r² = 28.8/12.57

r² = 2.29

√ r² = √2.29

<u>r = 1.51 inches</u>

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ANSWER

The solution is where the two graphs intersect, which is
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EXPLANATION

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We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

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