8. A right circular cylinder is inscribed in a sphere of radius v3. Find the dimensions of the cylinder if its volu...
Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 80 cm. What is the maximum volume? Express the volume of a right circular cylinder inscribed in a sphere of radius 80 in terms of the cylinder's height, h. V(h)= (Type an exact answer, using n as needed.)
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.)
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.
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
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
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.
A sphere of radius r is centered at the ori- gin. A right circular cone is inscribed in the sphere as shown in the figure (0,r) Find the largest volume the cone can have when r = 12 inches. 1. max vol = 2042 - cu. ins. 2. max vol = 2024 - cu. ins. 3. max vol = 2036 2 cu. ins. 4. max vol = 2048 - cu. ins. 5. max vol = 2030 - cu. ins.
. 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...
2. (10 pts.) Consider a sphere of radius R > 0 and its bounding cylinder with height 2R that is tangent to the sphere precisely in an equatorial great circle (as depicted below) Define the axial projection of the sphere onto the cylinder and show that the axial projection of the sphere onto its bounding cylinder pre- serves area. Hint: Given a point (ro, Vo, zo) on the sphere, the axial projection of the sphere onto the cylinder fixes the...