High School

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Bill used candle molds to make candles that were perfect cylinders and spheres.

A cylindrical mold is shown with:
- Radius of the top circular section: 2 inches
- Height: 5 inches

A spherical mold is shown with:
- Radius: 2 inches

What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use [tex]\pi = 3.14[/tex].

A. 20.82 cubic inches
B. 29.31 cubic inches
C. 56.6 cubic inches
D. 62.8 cubic inches

Answer :

Answer:

29.31 cubic inches

Step-by-step explanation:

To solve this equation, you first need to know how to find the volume of each mold using the following equations.

V = π r² h - The equation to find the volume of a cylinder

V = 4/3 π r³ - The equation to find the volume of a sphere

(*Note: 4/3 is four thirds in case there is any confusion)

Now that we have the necessary equations, we need to input the measurements for each into their respective equations. First, let's find the volume of the cylinder mold.

Using the equation for finding the volume of a cylinder, we just need to insert 2 as the radius and 5 as the height giving us this equation:

V = π (2)² (5)

V = π (4) (5)

V = π (20)

V = 62.8 cubic inches

To find the volume of the sphere mold, we just need to use the equation for finding the volume of a sphere and input 2 as the radius.

V = 4/3 π (2)³

V = 4/3 π (8)

V = π (10.67)

V = 33.5 cubic inches

Now that we have both volumes, we just need to subtract the smaller volume from the larger one since the question is asking for the difference between the two.

62.8 - 33.5 = 29.3

Depending on how you rounded different numbers throughout this process, your answer may be very slightly higher or lower but in the end you should get 29.31 cubic inches as your answer.

Hope this helps!

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Rewritten by : Jeany

Answer:

29.31

Step-by-step explanation: