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
A right circular cone has a slant height of 14 ft and a lateral area of 981 ft. Find its volume in cubic feet. x )*
It is desired to make a right circular cone out of copper. Calculate the cone height h that will be required (express in cm) if the cone mass m is exactly 62.5 g and the cone radius r is exactly 3.23 cm. Useful information: Vcone = ar’h and pcu = 8.90 g cm.
(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...
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.
Question 16 Given the right square pyramid with altitude RE and slant height RD, determine which of the following triangles are right triangles. R [G-GMD.41 I. ARED II. ARDN III. ARMN M N E D O I&II O ll only O II & III O l only
The region is a right circular cone, 2 = Var? + y2 with height 29. Find the limits of integration on the triple integral for the volume of the cone using Cartesian, cylindrical, and spherical coordinates and the function to be integrated. For your answers 0 theta, o=phi, and p = rho. Cartesian V = p(x, y, z) dz dy da where A C = B = ,F= E ,D= and p(x, y, z) = Cylindrical V = so" C"S"...
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.
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.
36 SSM The volume of a cone of height h and base radius r is V-Tr2h/3. A conical vessel of height 25 cm rest- ing on its base of radius 15 cm is filled with water. (a) Find the volume and weight of the water in the vessel. (b) Find the force exerted by the water on the base of the vessel. Explain how this force can be greater than the weight of the water.