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ludmilkaskok [199]
3 years ago
6

Fresh cut flowers need to be in at least 4in of water. A spherical vase is filled until the surface of the water is a circle of

5in in diameter. Is the water deep enough for the flowers? Explain.
Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

No. The depth of the water is less than the required depth(2.5 inches<4 inches)

Step-by-step explanation:

-The deepest point of the half-filled vase is the point perpendicular to the sphere's midpoint.

-This point is equivalent to the extreme end of the radius.

-Since, the diameter is 5 inches, the radius is:

D=2r\\\\r=D/2\\\\=5/2\\\\=2.5 \ inches

2.5inches<4 inches

Hence, the water is not deep enough for the flowers.

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