dv/dt = pi r^2 dh/dt
just plug in your numbers to find dh/dt
A student is drinking a milkshake with a straw from a cylindrical cup with a radius of 5cm. if the student is drinking at a rate of 3.5cm^3 per second, how fast is the level of a milkshake dropping?
2 answers
let the height of the shake level be h cm
V= πr^2 h
= 25πh
dV/dt = 25π dh/dt
-3.5 = 25π dh/dt
dh/dt = -3.5/25π = appr -.04456.. cm^3/s
V= πr^2 h
= 25πh
dV/dt = 25π dh/dt
-3.5 = 25π dh/dt
dh/dt = -3.5/25π = appr -.04456.. cm^3/s