Answer:
Step-by-step explanation:
For this exercise you must use the followinG Trigonometric Identity:
In this case, given the right triangle PQR, you can identify that:
Then, the next step is to substitute those values into :
And the final step is to solve for "QR" in order to find its value.
So you get that this is:
Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by: , where r is the radius.
The volume of a cylinder is denoted by: , where r is the radius and h is the height. Plug in 2r for h and 18 for V:
Now plug in 9 for πr³ in the volume formula for the sphere:
The volume of the sphere is 12 cm³.