Awater tank has the shape of a conical frustum with bottom radius 1 m, top radius 3 m and height 2 m. If water is being pumped into the tank at a rate 2 m3/min, find the rate at which the water level is rising when the water is 1 m deep. The volume of the bottom part of heighth(seethe Figure) of a conical frustum with bottom radiusR1,top radiusR2andheightHis given by theformula:
A water tank has the shape of a conical frustum with bottom radius 1 m, top radius3 m and height 2 m. If water is being pumped into the tank at a rate 2 m3/min, find the rate at which the water level is rising when the water is 1 m deep. The volume of the bottom part of height h (see the Figure) of a conical frustum with bottom radius R1, top radiusR2 and height H is given by the formula:
