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Triss [41]
3 years ago
5

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many 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?
Mathematics
1 answer:
OleMash [197]3 years ago
5 0

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) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

<u><em>Taking the value </em></u>\pi<u><em> = 3.14.</em></u>

Now, to get the height (h) we put formula:

Volume=\pi r^2\frac{h}{3}

Volume=3.14\times 2^2\times \frac{h}{3}

6=3.14\times 4\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

18=12.56h

<em>Dividing both sides by 12.56 we get:</em>

1.43=h

h=1.43\ inches.

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) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

Volume =\pi r^2h

Volume=3.14\times 2^2\times 1.43

Volume=3.14\times 4\times 1.43

Volume=17.96\ oz.

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

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