Question

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

Answer 1

Answer:

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  }