9 18. The radius of a right circular cylinder is √31+6 and its height is where...
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 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.)
to one decimal place please. The radius of the circular base of a cylinder is increasing at a rate of 4 inches per second. Find the rate of change of the volume when the radius is 3 inches and the height is three times the radius. Round your answer to one decimal place. The rate of change of the volume is Number Units
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,...
4. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a sphere with radius 8 inches?
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.
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
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.)
A water tank is shaped like a right, circular cylinder with height 6 ft and radius 3 ft. If the tank is filled to 1 ft below the top, find the work required to pump all of the water to the level of the top and let flow over the edge. The density of water is 62.5 lbs per cubic foot.
. 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...