Are you taking CLEP classes? Try clep.ai
| preferred AP College board partner for AP classes
medium

Related Rates Conical Tank

Mark
< Prev
Next >

Water is pumped into an inverted conical tank at a rate of 3  m3/min3\;m^3/min. The tank has a height of 5 meters and a radius of 2 meters at the top. The volume of water in the tank is given by V=13πr2hV=\frac{1}{3}\pi r^2 h, where rr is the radius of the water’s surface and hh is the height of the water. For this tank, the relationship between the radius and height is r=25hr=\frac{2}{5}h. At what rate is the height of the water increasing when the water is 3 meters deep?

A

2536π\frac{25}{36\pi}

B

336π\frac{3}{36\pi}

C

2512\frac{25}{12}

D

2512π\frac{25}{12\pi}

Hint
Did You Know?
Explain Why
Explain All Answers
Check Answer
Show Correct Answer
Report Question

Question Leaderboard

Not enough data yet to show leaderboard.

AI Tutor

How can I help?

APFIVE © 2020.
Email: apfive@apfive.org|Privacy Policy|