Question

Gary used candle molds, as shown below, to make candles that were perfect cylinders and spheres: What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14. A.) 16.75 cubic inches B.) 20.93 cubic inches C.) 24.25 cubic inches D.) 33.49 cubic inches

Answer 1

A.) 16.75

Explanation:

First, find the volume of each mold:

`Cylinder_(volume)` = πr²h

Where,

π = 3.14

r = 2 in

h = 4 in

`Cylinder_(volume) = 3.14*2^2*4 = 50.24 in^3`

`Sphere_(volume)` = ⁴/3πr³

Where,

π = 3.14

r = 2 in

`Sphere_(volume) = (4)/(3)*3.14*2^3 = 33.49 in^2`

Approximate difference in the amount of wax needed = 50.24 - 33.49 = 16.75 in^3