wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Water runs into an inverted conical tent at the rate of 20ft3/min and leaks out at the rate of 5ft3/min. The height of the water is three times the radius of the water's surface. The radius of the water surface is increasing when the radius is 5ft, is

A
15πft/min
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
110πft/min
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
115πft/min
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 15πft/min
Rate of change in volume of conical tent =205=15ft3/min
Volume of cone V=13πr2h
V=πr3
dVdt=3πr2drdt
drdt=15πft/min

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Rate of Change
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon