It is desired to make a right circular cone out of copper. Calculate the cone height...
please answer 1,2&3!
A right circular cone has a radius of 4z +4 and a height of 3 units less. Express the volume of the cone as a polynomial function. The volume of a cone is V = ?h for a radius r and height h. Preview V(z) = A square has sides 13 units. Squares of z +2 by +2 units are cut out of each corner to create an open box. Express the volume of the box as...
Consider two right circular cones, cone A which is solid and cone B which is hollow and has mass only around the shell of the cone. Both cones have the same mass M , the same height H, and the same top radius R. Let the cone axes be along the y—axis with the tip at y=0 and the circular end at y=H. Which cone will have the largest moment of inertia?
4. Use the AM-GM inequality to find the largest right circular cylinder that is inscribed in a right cone with base radius R and height H. Also determine the radius and height of the largest such cylinder.
4. Use the AM-GM inequality to find the largest right circular cylinder that is inscribed in a right cone with base radius R and height H. Also determine the radius and height of the largest such cylinder.
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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...
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
A solid right circular cone has radius 2 and height 4. Suppose the density of the cone above has a density that varies as the square of the distance from the base. Find the center of mass.
(1 point) Consider a right circular solid cone S standing on its tip at the origin. The height of the cone is 3 and the radius of the top is 8. Find the centroid of the cone by following the steps below. Assume the density of the cone is constant 1. a. The mass of the cone is m Jls 1 d(x, y, 2) b. Let Q(2) be the disk that is the intersection of the cone with the horizontal...
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...
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.
4. Find the center of mass of a homogeneous solid right circular cone if the density varies as the square of the distance. (from apex) 5. Find the center of gravity of a very thin right circular conical shell of base-radius r and altitude h.