A solid sphere of ice with radius 4 is placed on a hollow cone (vertex pointed down) of radius 4 and height 5. When the ice melts, how much of the water will overflow the cone? Express your answer as a common fraction in terms of $\pi$. (For this problem, we ignore the fact that the volume of water decreases when it melts.)
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A solid sphere of ice with radius 4 is placed on a hollow cone (vertex pointed down) of radius 4 and height 5. When the ice melts, how much of the water will overflow the cone? Express your answer as a common fraction in terms of $\pi$. (For this problem, we ignore the fact that the volume of water decreases when it melts.)
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\frac{176}{3}\pi
A solid sphere of ice with radius 4 is placed on a hollow cone (vertex pointed down) of radius 4 and height 5. When the ice melts, how much of the water will overflow the cone? Express your answer as a common fraction in terms of $\pi$. (For this problem, we ignore the fact that the volume of water decreases when it melts.)
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