How many glasses like the one shown can be filled three-quarters full from the pitcher holding 150 cubic inches of water? Assume a glass is three-quarters full when the height of its contents is three quarters the height of the glass. Use 3.14 for pi, and enter your answer as an integer.


Number of glasses=

How many glasses like the one shown can be filled threequarters full from the pitcher holding 150 cubic inches of water Assume a glass is threequarters full whe class=

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Answer:

11 glasses

Step-by-step explanation:

The number of glasses that can be filled three-quarters full from the pitcher holding 150 cubic inches of water is 11

How to determine the number of glasses?

Start by calculating the volume of the glass using

V = 1/3πr^2h

So, we have:

V = 1/3 * 3.14 * (4/2)^2 * 4

The glass is filled in three-quarters.

So, its actual volume is:

V = 3/4 * 1/3 * 3.14 * (4/2)^2 * 4

Evaluate

V = 12.56 cubic inches

Divide the volume of the pitcher by the volume of the glass to get the number of glasses

n = 150/12.56

Evaluate the quotient

n = 11.94

Remove the numbers after the decimal points

n = 11

Hence, the number of glasses is 11

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