Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in...
Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with radius 20 cm. The radius is cm, and the height is cm. (Type an integer or a decimal. Round to the nearest hundredth as needed.) cm The volume is (Type an integer or a decimal. Round to the nearest hundredth as needed.)
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...
4. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a sphere with radius 8 inches?
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
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.
10. The volume V of right circular cylinder (Pepsi can) is V rah and surface area S is S=29p2 + 2wrh. Given the volume is 10 cm", express the surface areas in terms of just r.
9 18. The radius of a right circular cylinder is √31+6 and its height is where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume of the cylinder, V, with respect to time.
. The height and radius of a right circular cylinder are approximately 15 centimeters and 8 centimeters, respectively. The maximum error in each measurement is +0.02 centimeters. a. Find the approximate volume of the cylinder. b. Use the total differential to estimate the propagated error in the calculated volume of the cylinder. c. Use the total differential to estimate the relative error in the calculated volume of the cylinder . The height and radius of a right circular cylinder are...
Assume that the sphere has a fixed radius of V3 m. Find the radius and height of the cylinder inscribed in this sphere that can maximize the volume of the cylinder. The radius of the sphere = 1 (radius of the cylinder)? + +(height of the cylinder) The volume of the cylinder is V = + (radius) height. V3
Find the surface area of each figure. Complete parts (a) through (e) below. cm The surface area of the cube is 06 Cm (Simplify your answer. Typical creacl answer using radicals as needed. Tyox anckach answer using as needed D. Right circular cylinder 1. CIEL The surface area of the right circular cylinder is em (Simplity your answer. Type an exact answer. Using rau ca s as needed. Type an exact answer, using as needed.) c. Right regular prisiti O...