calculus
posted by andy .
A 3dimensional structure is obtained from rotating the parabola y=x^2 about the yaxis. Each second, 2π units^3 of water is being poured into the structure from the top. When 8π units^3 of water has been poured in the structure, the instantaneous change in water height level is a/b, where a and b are coprime positive integers. What is the value of a+b?
Respond to this Question
Similar Questions

math, calculus
A 3dimensional structure is obtained from rotating the parabola y=x^2 about the yaxis. Each second, 2π units^3 of water is being poured into the structure from the top. When 8π units^3 of water has been poured in the structure, … 
Calculus
The volume of the 3dimensional structure formed by rotating the circle x^2 + (y5)^2 = 1 around the xaxis can be expressed as V = a\pi^2. What is the value of a? 
calculus
The volume of the 3dimensional structure formed by rotating the circle x^2 +(y−5)^2 =1 around the xaxis can be expressed as V=aĆ°^2 . What is the value of a 
calculus
The volume of the 3dimensional structure formed by rotating the circle x^2 +(y−5)^2 =1 around the xaxis can be expressed as V=a*pi^2 . What is the value of a 
Calculus
The volume of the 3dimensional structure formed by rotating the circle x^2 + (y5)^2 = 1 around the xaxis can be expressed as V = a\pi^2. What is the value of a? 
calculus
A 3dimensional structure is obtained from rotating the parabola y=x^2 about the yaxis. Each second, 2π units^3 of water is being poured into the structure from the top. When 8π units^3 of water has been poured in the structure, … 
Calculus
How do I find the critical values? y= 4/x + tan(πx/8) What I did is I simplified it to y= 4x^1 + tan(πx/8) then I took the derivative y'= 4x^2 + (π/8)(sec(πx/8))^2 Then I simplied it y'= 4/x^2 + (π/8)(sec(πx/8))^2 
Calculus @ Henry
I worked some on this earlier, and botched it a bit, so here goes again. A water tank is made by rotating f(x)=2^x1 between [0,2] about the yaxis. The water tank is initially full, when a hole is opened at the bottom tip so that … 
Calculus
A cylindrical jar of radius 5 cm contains water to a depth of 8 cm. the water from jar is poured at a constant rate into a hemispherical bowl. After t seconds, the depth of the water in the bowl is x cm and the volume, V of water is … 
Calculus  Rates of Change
A water tank has a shape of an inverted cone with a base radius of 2m and a height of 4 m. If water is being pumped into the tank at a rate of 2m3/min, then find the rate at which the water level is rising when the water is 3m deep. …