a cone of radius 5 centimetre is filled with water if the water is poured in a cylinder of radius 10 cm height of the water rises by 2 cm find the height of the cone
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The volume of water in the cylinder is V = πr^2 * h
V = π * 10^2 * 20 or 2000π
This equals the volume of a cone with radius 5 and unknown height. The volume of a cone is 1/3 * πr^2 * h or 1/3 * 5^2 * h.
V = 25/3 * π * h
Equal these 2 quantities to each other. π cancels out, then multiply both sides of the equation by 3/25 to solve for h. H = 240 cm
Hope that helps!
V = π * 10^2 * 20 or 2000π
This equals the volume of a cone with radius 5 and unknown height. The volume of a cone is 1/3 * πr^2 * h or 1/3 * 5^2 * h.
V = 25/3 * π * h
Equal these 2 quantities to each other. π cancels out, then multiply both sides of the equation by 3/25 to solve for h. H = 240 cm
Hope that helps!
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