1) Gravel is being dumped from a conveyor belt at a rate of 30ft^3/min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.How fast is the height of the pile increasing when the pile is 25 ft high?
2) Find an equation of one variable for the area of an isosceles triangle inscribed in a circle of radius r.
3) Find the equation of one variable for the volume of a right circular cylinder inscribed in a sphere of radius r.
4) Find the equation of one variable for the surface area of a right circular cylinder inscribed in a cone of a height h and radius r with the base of the cylinder on the base of the cone.