Posted by help on Monday, February 20, 2012 at 10:24pm.
Sand is poured onto a level piece of ground at the rate of 0.25 m^3/min and forms a conical pile whose height is equal to its base diameter. How fast is the height increasing at the instant when the height is 0.50 m? V = 1/3(pi)(r^2)h
I got 3/pie, is that correct?
- Calculus - Reiny, Monday, February 20, 2012 at 11:09pm
I got 4/π
let the radius be r, then the height is 2r
V= (1/3)πr^2 h
dV/dt = 2π r^2 dr/dt
r = .25 and dV/dt = .25
1/4 = 2π(1/16) dr/dt
2 = π dr/dt
dr/dt = 2/π
d(2r)/dt = d(height)/dt = 4/π
- Calculus - help, Tuesday, February 21, 2012 at 2:02am
- Calculus - Anonymous, Monday, February 23, 2015 at 4:03pm
Where did you get 8 from?
Answer This Question
More Related Questions
- CALCULUS - Sand is being poured from a converyer belt forming a conical pile ...
- calculus - grain is being poured through a chute at rate of 8 ft^3/min and forms...
- Calculus 1 - Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min...
- calculus - Sand falls from a conveyor belt at a rate of 20 m^3/min onto the top ...
- AP Calculus - Sand pouring from a chute forms a conical pile whose height is ...
- Calculus - Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, ...
- Timerate problem(calculus) - Sand is being dropped at the rate 10 metercube/min ...
- CALCULUS - A pile of sand in the shape of a cone whose base diameter is 4 times ...
- math - San falls from a conveyor belt at the rate of 10 m^3/min onto the top of ...
- calc 1 - Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, ...