A sphere of radius r is centered at the ori- gin. A right circular cone is...
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.
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
8. A right circular cylinder is inscribed in a sphere of radius v3. Find the dimensions of the cylinder if its volume is to be maximized. Hints: Let r be the distance from the center of the sphere to the base of the cylinder and let r be the radius of the base of the cylinder. Note that the height of the cylinder is 2r. 8. A right circular cylinder is inscribed in a sphere of radius v3. Find the...
(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
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
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) cartesian b)cylindrical c) spherical - Y Cone, topped by sphere of radius 7 centered at origin, 90° at vertex For the region W shown in the figure above, write the limits of integration for dV in the following coordinates: JW
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...
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...
Question 6 (20 points (bonus)). On the sphere with radius R and centered at origin in Rº consider the region D with area A. Consider the solid E constructed by the line segments from origin to the points in D. Show that the volume of Eis RA. Figure 1: Curve C