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bazaltina [42]
3 years ago
10

A metallic spherical ball of radius 14 cm is being melted and recast it into spherical balls of radius 2 cm. How many spherical

balls will be created? Round your answer to the nearest whole number.
Mathematics
1 answer:
mojhsa [17]3 years ago
4 0

Volume of sphere = 4/3 x pi x r^3

Volume of large sphere:

4/3 x 3.14 x 14^3 = 11488.21 cubic cm

Volume of smaller sphere:

4/3 x 3.14 x 2^3 = 33.49 cubic cm

Number of small spheres = volume of large sphere/ volume of small sphere

11488.21 / 33.49 = 343.03

Round to 343 small spheres

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Answer:

She can make<u> 7 </u>baby outfits.

Step-by-step explanation:

Given:

A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib.

A tailor has 5 4/9 square yards of fabric.

Now, to find the outfits she can make.

So, we add to get the total fabric used for baby outfits hat and bib:

\frac{2}{9} +\frac{5}{9}\ square\ yards.

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Total fabric used for outfit = =\frac{7}{9}\ square\ yards.

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Now, to get the number of outfits from the fabric tailor has we divide by total fabric used for outfit:

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Number\ of\ outfits = \frac{49}{9} \div\frac{7}{9}

<em>Thus, on dividing we get:</em>

Number\ of\ outfits = 7\ outfits.

Therefore, she can make 7 baby outfits.  

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