Respuesta :
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!
