Find the volume of the figure if the radius of the hemisphere and cylinder is 6 inches and the height of the cylinder is 12 inches. Find the volume in terms of pi.

Half of a sphere cut by a plane passing through its center, we get hemisphere.
A hemisphere is half of a full sphere and the volume of a hemisphere is equal to two thirds multiplied by pi multiplied by radius to the power 3. So the formula to find the volume-hemisphere is :
Volume-Hemisphere = 2/3 π r3

Answer Link

facundo3141592 facundo3141592 · Answer 2 · 2022-04-15T14:21:38+02:00

By decomposing the figure on simpler shapes, we will see that the total volume is V = 1,808.64 in^3

How to find the volume of the figure?

We can separate the figure on the cylinder and the hemisphere.

The volume of a hemisphere of radius R is:

V = (2/3)*3.14*R^3

So, if the radius of the hemisphere is 6 in, the volume is:

V = (2/3)*3.14*(6 in)^3 = 452.16 in^3

For a cylinder of radius R and height H, the volume is:

V' = H*3.14*R^2

In this case, R = 6 in and H = 12 in, then:

V' = (12 in)*3.14*(6 in)^2 = 1,356.48 in^3

So the total volume is:

Volume = 452.16 in^3 + 1,356.48 in^3 = 1,808.64 in^3

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490