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Nadya [2.5K]
3 years ago
8

A box of cereal measures 19.5 cm by 30 cm by 6.5 cm. It is filled to 80% capacity. A cereal bowl is hemispherical and measures 1

2 cm wide. How many bowls of cereal can be filled by one box of cereal?
Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0

Volume of cereal box=19.5*30*6.5=3802.5cc. The volume of cereal is 80% of this=0.8*3802.5=3042cc.

Volume of the cereal bowl is 2/3(pi)r^3 (half the volume of a sphere 4/3(pi)r^3) where r=radius=12/2=6cm. The volume is therefore 2/3(pi)*216=144(pi)cc.

The number of full cereal bowls is 3042/144(pi)=21.125/(pi)=6.72. So 6 cereal bowls can be filled from the cereal in one cereal box.

GaryK [48]3 years ago
7 0
The answer to this question is 6.
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