A cone of radius 7 cm and height 12 cm is filled with water. The cone starts leaking from the bottom (apex) at the rate of 40 cm³/s. How fast is the water level falling when it is 6 cm high?
Answers
Answered by
1
Answer:
the water level falling for 1.925 sec when it is 6 cm high
Explanation:
A cone of radius 7 cm and height 12 cm is filled with water. The cone starts leaking from the bottom (apex) at the rate of 40 cm³/s. How far is the water level falling when it is 6 cm high?
Volume of Cone = (1/3)πR²h = (1/3)(22/7)*7²*12
= 616 cm³
When Water Level = 6 cm
then height above this = 12 - 6 = 6cm
Radius = (6/12) * 7 = 7/2 cm
Volume of Cone which has been emptied = (1/3)(22/7)(7/2)²*6
= 77 cm³
Time Taken = 77/40 = 1.925 sec
the water level falling for 1.925 sec when it is 6 cm high
Similar questions