Answer:
h = 135/(4π)
Explanation:
The formula for the volume of a cone is V = (1/3)πr²h,
where r is the radius, and h is the height. We need to use the given info and this fomula to find h.
Step 1: We are told that V = 45, and r = 2, so plug those values in
45 = (1/3)π(2²)h
Step 2: Solve for h
Simplify...
45 = (1/3)π(4)h (2² = 4)
45 = (4π/3)h (commutative property of multiplication)
Multiply both sides of the equation by 3/(4π) to isolate h
[3/(4π)](45) = [3/(4π)](4π/3)h
135/(4π) = h { [3/(4π)](4π/3) simplifies to 1 }