We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.
We know that volume of cone is
.
The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:

Upon substituting
in volume of cone, we will get:


We know that volume of sphere is
.
Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

Since
, so volume of sphere would be:


Therefore, volume of sphere would be 226.08 cubic mm.
Answer:
(C) A reflection across a horizontal line and a horizontal translation
Step-by-step explanation:
We can see that, near the x-axis, these shapes are 3 y values away from the x-axis, meaning that if we reflect one over the x-axis we will be at the same y values as the other shape.
Reflecting these points shows that we’ve got the same shape, just skewed the one side. We can then translate this shape horizontally to get it to where we want it.
Hope this helped!
For graphing, the desmos graphing calculator is a big help :))