Which of the following best describes how the
melted wax will fill the mold? TEKS G11(D)
Adam has a spherical candle with a radius of
2 inches. He melts the candle completely and
pours the soft wax into a mold in the shape of a
rectangular prism. The dimensions of the mold
are shown here.
A
B
2 in
The wax will fill the mold a bit less than
halfway
The wax will fill the mold a bit more than
halfway.
The wax will fill the mold almost perfectly
The wax will fill the mold and there will be a
lot of wax left over
C
D
5 in
5 in.

The wax will fill the mold a bit more than halfway.

Step-by-step explanation:

The volume of a sphere with radius is:

.

The radius of this sphere of wax is ; Its volume would be:

.

Assume that the wax here does not evaporate, combust, or otherwise disappear. .

The volume of a rectangular prism is equal to .

For this mold with a rectangular prism shape:

.

Half of that would be:

.

Compare these two volumes to the volume of wax available:

.

In other words, the wax will fill the mold a bit more than halfway, but not completely.

step-by-step explanation:

∞ this is your sign