Suppose that sand is being poured onto a conical pile at a r
Suppose that sand is being poured onto a conical pile at a rate of 100 cubic feet per minute. Assume that the height and radius of the conical pile of sand are equal.
Find the rate at which the radius of the pile of sand is increasing at the moment the radius is 15 feet.
Find the rate at which the ground area covered by the sand is increasing at that same moment.
Please show all work / explain for full rating and use the given numbers.
Find the rate at which the radius of the pile of sand is increasing at the moment the radius is 15 feet.
Find the rate at which the ground area covered by the sand is increasing at that same moment.
Please show all work / explain for full rating and use the given numbers.
Solution
dR/dt = 0.14 ft/minute the rate of increase of ground area is dA/dt = 2.22 ft^2/s