A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?
Volume of water in the cup, V = 1/3 πr2h
where r is the radius of the cup and h is the height of water.
Since the water is filled to half its height, h = 4/2 = 2, daimeter = 3/2 = 1.5
radius = diameter/2
radius = 1.5/2 = 0.75
V = 1/3 π(0.75)2(2)
V = 1.2
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