Question

Bill used candle molds, as shown, to make candles that were perfect cylinders and spheres:

A cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 2 inches and the height of the cylinder is labeled as 5 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 2 inches.

What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14.

20.82 cubic inches
29.31 cubic inches
56.6 cubic inches
62.8 cubic inches

Answer 1

29.31

Explanation:

Answer 2

29.31 cubic inches

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
`=\pi * r^2* h`

`A=3.14* 2^2* 5=3.14* 4* 5=62.8` cubic inches

Now, lets calculate the amount of wax needed for the spherical mold:

`A=(4)/(3)* \pi * r^3=(4)/(3)* 3.14 * (2)^3=(4)/(3)* 3.14*8=33.49` 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:

`62.80-33.49=29.31` cubic inches

So the approximate difference in the amount of wax is 29.31 cubic inches.