(See Steps) Sand falling from a hopper at 10 π ft 3 / s forms a conical sand pile whose radius is always equal to its height. How fast is the radius
Question: Sand falling from a hopper at \(10 \pi \mathrm{ft} 3 / \mathrm{s}\) forms a conical sand pile whose radius is always equal to its height. How fast is the radius increasing when the radius is \(5 \mathrm{ft}\) ?
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