Ask Question
23 October, 04:45

Dennis has three identical cylinders filled with water. How many cones should he be able to fill with the water if the cones have the same radius and the same height as the cylinders?

+4
Answers (2)
  1. 23 October, 05:07
    0
    9 cones

    Step-by-step explanation:

    The formula to find a volume of a cylinder is:

    V1 = pi*r^2*h

    Where r is the base radius and h is the height

    The formula to find a volume of a cone is:

    V2 = (1/3) * pi*r^2*h

    So, if they have the same base radius and same height, we have that:

    V1/V2 = 1 / (1/3) = 3

    The volume of the cylinder is 3 times bigger than the volume of the cone, so each cylinder of water can fill 3 cones.

    Is Dennis has 3 cylinders, he is able to fill 3*3 = 9 cones with water.
  2. 23 October, 05:13
    0
    3 cylinder will fill 9 cones with water

    Step-by-step explanation:

    This problem bothers on mensuration of slides, cone and cylinder

    We know that the

    Volume of a cylinder = πr²h

    Volume of a cone = 1/3 (πr²h)

    Given that both cylinder and cone has same height and radius

    From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume

    So if 1 cylinder will fill 3 cones

    Then 3 cylinders will fill x cones

    By cross multiplication we have

    x = 3*3cones

    x = 9 cones

    Hence 3 cylinder will fill 9 cones with water
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Dennis has three identical cylinders filled with water. How many cones should he be able to fill with the water if the cones have the same ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers