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Anuta_ua [19.1K]
3 years ago
14

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a

Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a  height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let  it melt.

Now, to explain mathematically will the cone hold all of the ice cream.

<u>Taking the value of π = 3.14.</u>

So, to get the volume of waffle cone we put formula:

Height (h) = 6 inches.

Diameter = 2\frac{5}{8}=\frac{21}{8}\ inches.

Thus radius (r) = Diameter ÷ 2 = \frac{\frac{21}{8}}{2} =\frac{21}{16} \ inches.

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

Volume=3.14\times \frac{21}{16} \times \frac{21}{16} \times \frac{6}{3}

Volume=3.14\times 1.31\times 1.31\times 2

Volume=10.78\ inches^3.

The volume of waffle cone = 10.78 inches³.

Now, to get the volume of scoop which is in the shape of sphere we put formula:

Diameter = 2\frac{7}{8} =\frac{23}{8} \ inches.

Thus radius (r) = Diameter ÷ 2 =\frac{\frac{23}{8}}{2} =\frac{23}{16} \ inches.

Volume = \frac{4}{3} \pi r^3

Volume = \frac{4}{3} \times 3.14\times \frac{23}{16} \times \frac{23}{16} \times \frac{23}{16}

Volume=1.33\times 3.14\times 1.44\times 1.44\times 1.44

Volume=12.47\ inches^3.

<em>The volume of one scoop of ice cream = 12.47 inches³.</em>

<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>

<u><em>Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.</em></u>

Therefore, no the cone will not hold all of the ice cream.

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