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A manufacturer wants to build a container in the shape of a (right circular) cone with volume 125...
The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and the radius is 15 inches and the height is 45 inches? rate of change of the volume 13194.69 in3/min rate of change of the surface area 2402.85| in2/min
If you were to pack a conical (cone) container with snow and melt it, the volume of melted water would be about one third the volume of the cone. The cone has radius 27 in. and height 77 in. Determine the volume of the cone and the volume of melted water in the cone, to one decimal place. Question 23 (3 points) The shape and dimensions of a pool are given in the diagram. Determine the area of pool cover...
A company is producing objects in the shape of cylinder with a circular cone top. The cone and the cylinder have equal height. An inspection of the production line indicates that the height h can be 2.4% higher and in the radius r, 1.4% larger. Determine the possible % error in the volume of this object.
For a right circular cone, the ratio of the slant height to the length of the radius is 5 : 3. If the volume of the cone is 7681 in?, find the lateral area (in square inches) of the cone. in 2
Please help this one A right-circular cone with base radius r, height h, and volume ar," is positioned so that the base sits in the x-y plane with its center at the origin. The cone points upwards in the +z-direction. Starting from the definition, find and expression for the z-coordinate of the center of mass of a homogeneous right-circular cone. Verify the units and the magnitude of your answer to part (a) Briefly explain how you could experimentally verify your...
6. A right circular cone of height h 8 and radiusr 4 is constructed, and in the process Errors Ar and Δh are made in the radius and height. Write the formulas for the differential in volume (dVi and differential in surface area (d5). Construct the following table. år 0.1 0.2 0.1 dv av ds AS 0.1 0.0002 0.0001 00002 6. A right circular cone of height h 8 and radiusr 4 is constructed, and in the process Errors Ar...
i dont understand this question :/ Name: Math 185 Exam 1 Spring 19 10. A tank has the shape of an inverted right circular cone with a base radius of 3 m and a height of 10 m. If the tank is Date: filled to a height of 6 m, find the work required to empty the tank by pumping the water over the top of the tank. (The mass of water is 1000 kg/m3 and the force of gravity...
13. -/1 POINTS SCALCET8 4.7.032. A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible volume of such a cylinder. Need Help? Read till Talk to Tutor
(1 point) The radius of a right circular cone is increasing at a rate of 5 inches per second and its height is decreasing at a rate of 5 inches per second. At what rate is the volume of the cone changing when the radius is 10 inches and the height is 50 inches? cubic inches per second
A tank in the shape of an inverted right circular cone has height 5 meters and radius 3 meters. It is filled with 2 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is δ=1040 kg/m^3. Your answer must include the correct units.