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Answer:
The plastic cylindrical cup will hold <u>17.96 ounces</u> of water.
Step-by-step explanation:
Given:
A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.
Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.
Volume of cone = 6 oz.
Diameter = 4 inches.
So, radius (r) =
<u><em>Taking the value </em></u><u><em> = 3.14.</em></u>
Now, to get the height (h) we put formula:
<em>Multiplying both sides by 3 we get:</em>
<em>Dividing both sides by 12.56 we get:</em>
Now, to get the volume of cylindrical cup.
As, given it is the same height as the paper cup.
Height (h) = 1.43 inches.
Diameter = 4 inches.
Radius (r) =
So, we put formula to get the ounces of water a plastic cylindrical cup will hold:
Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.