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13 April, 05:23

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

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  1. 13 April, 06:48
    0
    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 }
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