(1) Water leaking onto a floor creates a circular pool with an area that increas
ID: 3186698 • Letter: #
Question
(1)Water leaking onto a floor creates a circular pool with an area that increases at the rate of 4 square centimeters per minute. How fast is the radius of the pool increasing when the radius r is 10 centimeters?
dr/dt=?
(2)
Water is poured into a conical paper cup at the rate of 3/2 in^3/sec
If the cup is 6 inches tall and the top has a radius of 3 inches, how fast is the water level rising when the
water is 2 inches deep?
The water level is rising at a rate of ?
(3)
A board 15 feet long slides down a wall. At the instant the bottom end is 12 feet from the wall, the other end is moving along the wall at the rate of -3 feet per second. At that moment
how fast is the bottom end sliding across the ground?
how fast is the area of the region between the board, ground, and wall changing?
Explanation / Answer
1) A = pi. r2 as, dA/dt = 4 cm2 = 2.pi.r. dr/dt therefore, at r =10, dr/dt = 0.0636 2)
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