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xxTIMURxx [149]
3 years ago
9

A sphere-shaped beach ball is 16 inches in diameter. How many cubic inches of air will the ball hold when it is fully inflated?

Use 3.14 for π. Round your answer to the nearest tenth.
a.682.7 cubic inches
b.2,143.6 cubic inches
c.5,461.3 cubic inches
d.17,148.6 cubic inches
Mathematics
1 answer:
Paladinen [302]3 years ago
8 0
5,41.3 cubic inches
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Answer:

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<u>1) Calculate the area of the square</u>

A=lw\\A=20*20\\A=400

Therefore, the area of the square is 400 cm².

<u>2) Calculate the area of the circle</u>

A=\pi r^2\\

\pi we can substitute with 3.14. To find the radius, we divide the diameter of the circle by 2. 20 cm is the diameter of the circle, so therefore, its radius is 10 cm.

A=3.14*10^2\\A=3.14*100\\A=314

Therefore, the area of the circle is 314 cm².

<u>3) Subtract the area of the circle from the area of the square</u>

A=400-314\\A=86

Therefore, the area of the shaded region is 86 cm².

I hope this helps!

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The complete question in the attached figure

we have that
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the answer is
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