Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per minute. If the radius of the ball is 7 feet, how long would it take for the balloon to empty fully ? Round your answer to the nearest minute. Use the approximate of value of π, that is 3.14.
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The correct Answer is:
So, it would take about 55 minutes for the balloon to empty fully.
A spherical balloon is filled with 4500p cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72pi cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began is (1) 9/7 (2) 7/9 (3) 2/9 (4) 9/2
Water is pound into an empty cylindrical tank at a constant rate for 5 minutes. After the water has been poured into the tank, the depth of the water is 7 feet. The radius of the tank is 100 feet. Which of the following is the best approximation for the rate at which the water was poured into the tank? (a) 140 cubic feet/sec (b) 440 cubic feet/sec (c) 700 cubic feet/sec (d) 2200 cubic feet/sec
A cylindrical tank full of water is emptied by a pipe at the rate of 225 litres per minute. How much time will it take to empty half the tank, if the diameter of its base is 3 m and its height is 3.5 m? [Use pi=22//7 ]
A spherical balloon is filled with 4500pi cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the ratio of 72pi cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began is
A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat? a. 1 1/2 minutes b. 3 1/2 minutes c. 3 3/5 minutes d. 4 1/4 minutes
