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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?

1) 1.2

2) 3.5

3) 4.7

4) 14.1

**Comments**

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Volume of water in the cup, V = 1/3 πr^{2}h

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

**Ans 1**

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