4. What are the dimensions of the right circular cylinder of greatest volume that can be...
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.)
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...
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.)
Please do both 3. A rectangle has its base on the x-axis and it upper two vertices on the parabola y = 12 - x? What dimensions will maximize the area of the rectangle? 4. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a sphere with radius 8 inches? OE (S! R4 135=61 rta 64 - 4
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.
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
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.
A sphere is inscribed in a straight circular cylinder. The sphere is cut by two parallel poles perpendicular to the axis of the cylinder. Prove that the portions of the sphere and the cylinder between these two planes have the same area. A sphere is inscribed in a straight circular cylinder. The sphere is cut by two parallel poles perpendicular to the axis of the cylinder. Prove that the portions of the sphere and the cylinder between these two planes...
The volume of a right circular cylinder is calculated by Trh where ris radius and his height Write a user-defined MATLAB function to compute the volume given radius and height. For the function name and arguments use Volume - Volume cylinder (Radius, Height). You do not need to call the function, you need to write the function as is would be in your current folder available to be called from a program. The function will take in the indicated inputs,...