Let C be the arc of the curve y=x³ between x=0 and x=1.
a) A bowl is formed by the rotation of C around the y-axis. Find the volume of this bowl.
b) A liquid is poured into the bowl at the rate of 0.1 cubic units per second. Find the rate of change of the surface area of the liquid in the bowl when the height of the liquid in the bowl is 0.125 units.
Can someone help please?
a) A bowl is formed by the rotation of C around the y-axis. Find the volume of this bowl.
b) A liquid is poured into the bowl at the rate of 0.1 cubic units per second. Find the rate of change of the surface area of the liquid in the bowl when the height of the liquid in the bowl is 0.125 units.
Can someone help please?