Use the graph below to fill in the blank with the correct number:

f(−2) =

Step-by-step explanation:

we know that

f(x) is the value of the function for the value of x

so

In this problem

is the value of the function for the value of

Observing the graph

For

the value of the function is equal to

see the attached figure to better understand the problem

C. 128/3 meters cubed

Step-by-step explanation:

The volume of a cylinder is denoted by: , where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:

We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:

Now, the volume of a sphere is denoted by: , where r is the radius. From above, we know that , so we can plug this into the equation:

Thus, the answer is C.