Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 14 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1 V = ar*h 3 min

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A: The volume of the right circular cone with height h and radius of base r is given by V=13πr2h Since,…

Q: he radius of an air is increasing at the rate of 1/2 cm/s.At what rate is the plume of the bubble…

A:

Q: A baseball diamond is a square of side 90 ft. A baseball player runs from a home plate toward the…

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Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: Given that, The dimensions of a rectangular box are following, Height (H) = S Length (L) = 2H = 2S…

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: Total surface Area of box = 2(lb+bh+hl) Where l is length  b is breadth h is height .

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.