Question

1.A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 1.5 m³/min. How fast is the water level rising when it is 1.1 m from the bottom of the tank? (Round your answer to three decimal places.)

2.At a given moment, a plane passes directly above a radar station at an altitude of 6 km. The plane's speed is 900 km/h. How fast is the distance between the plane and the station changing half an hour later? (Assume the plane maintains this speed and altitude over the half hour. Round your answer to three decimal places.)

3.A rocket travels vertically at a speed of 1300 km/hr. The rocket is tracked through a telescope by an observer located 18 km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. (Round your answer to two decimal places.)

Answer 1