If a cone shaped vase can hold 45 cubic centimeters of water and has a radius of 2 cm, what is the height of the vase

h = 135 / (4π)

Step-by-step 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 }