During a rainfall, a circular puddle grows such that its area is increasing by 100 cm/ minute. Find how quickly the radius of the puddle is growing when the radius is 30 cm. dr cm/minute.An inverted conical tank with radius 4 m and height 3 m (as illustrated) has water pumped into it at a rate of 20 m/ hour. Find the rate at which the depth of water is increasing when the volume is 100 m. (click to enlarge) The volume of a cone can be found by V = $ 7-h where r is the radius of the base circle and h is the height of the cone. As a function of h only, the volume of the water in the cone when the depth is h can be expressed by: V Note: you can write the symbol 7 as pi. When the volume is 100 m, dh m/hour. (You can round your answer to four or five decimal places).Suppose f() is continuous on [2, 6] and -2 2 for all a in R. If f(3) = -5, then what is the least possible value for f(7)? The least possible value of f(7) is