Final answer:
To express the formula V = Rr² * H in terms of height, divide both sides of the equation by (Rr²) to isolate the height variable, H. Then substitute the given values into the formula to find the height.
Step-by-step explanation:
To express the formula V = Rr² * H in terms of height, we need to isolate the height variable, H.
Divide both sides of the equation by (Rr²):
H = V / (Rr²)
Now we can use this formula to find the height when the volume is 45R and the radius is 3:
Substitute V = 45R and r = 3 into the formula:
H = (45R) / (3 * 3²)
Simplify the expression:
H = 45R / 27
H = 5R / 3
Therefore, the height (H) when the volume is 45R and the radius is 3 is 5R / 3.