5. Sand falls from a conveyor belt at the rate of 10m³/min to form a conical pile. The height of the pile is always three-quarters of the base radius. When the pile is 4m high (i) how fast is the height changing? (ii) how fast is the radius changing?

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5. Sand falls from a conveyor belt at the rate of 10m³/min to form a conical pile. The height of the pile
is always three-quarters of the base radius. When the pile is 4m high
(i) how fast is the height changing?
(ii) how fast is the radius changing?
Transcribed Image Text:5. Sand falls from a conveyor belt at the rate of 10m³/min to form a conical pile. The height of the pile is always three-quarters of the base radius. When the pile is 4m high (i) how fast is the height changing? (ii) how fast is the radius changing?
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