Answer:
29.31 cubic inches
Step-by-step explanation:
The dimension of the cylindrical mold is:
Radius (r) = 2 inches
Height of the cylinder (h)= 5 inches
The dimension of the sphere is:
Radius (r) = 2 inches
Lets calculate the amount of wax needed for the cylindrical candle:
A [tex]=\pi \times r^2\times h[/tex]
[tex]A=3.14\times 2^2\times 5=3.14\times 4\times 5=62.8[/tex] cubic inches
Now, lets calculate the amount of wax needed for the spherical mold:
[tex]A=\frac{4}{3}\times \pi \times r^3=\frac{4}{3}\times 3.14 \times (2)^3=\frac{4}{3}\times 3.14\times8=33.49[/tex] cubic inches
So the approximate difference in the amount of wax needed to make a candle from each of these molds is given by:
Amount of wax for the spherical mold subtracted by the amount of wax for cylindrical mold:
[tex]62.80-33.49=29.31[/tex] cubic inches
So the approximate difference in the amount of wax is 29.31 cubic inches.
