Question

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.

Answer 1

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

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.