do not use a calculator 7. Find the maximum volume that can be made from a cylinder with lateral surface area 10. The lateral surface aren of a cylinder is S Ⅱ 2Trh where r is the radius and h is...
6. Consider a cylinder with a surface area of 2 m2. Find the radius r and height h of such a cylinder so that the volume of the cylinder is a maximum. Given: For a cylinder, the surface area is S = 2^r2 + 2trh and the volume is V = arh (where r is the radius and h is the height of the cylinder). I (5)
1. The lateral surface area S of a cone excluding its base is given by where r is the radius of the base and h is the height. Determine the radius of a cone which has a lateral surface area 1200 m2 and a height of 20 m, by using the fixed point iteration with Start withr 17, and perform calculations in Matlab until two consec utive iterates do not differ by more than 10-8. What do you observe re...
QUESTION 4 Find the surface area of a cylinder with a radius of 3 and a height of 10. The surface area is TT units (Do not use pi in your answer as it is already written with the units above) QUESTION 5 Find the volume of a cone with a radius of 6 and a height of 8. The volume is IT units (Do not use pi in your answer as it is already written with the units above)...
teger Type Questions A transparent cylinder of radius R and height H made from a material of refractive index n 1.5 is placed on a horizontal table top with the base of the cylinder on contact with the table. A point light source is placed at a height h above the centre of the top circular face of the cylinder. The unilluminated area on the table top outside the cylinder is given by A then find the value of k
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.)
The area of a surface of revolution from x = a to x = b is Find the formula for the lateral surface area of a right circular cone of radius r and height h s=21 [»] + c3 dx
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.
Using your h and r from problem 2, find h/r and simplify – you should get a whole number. We can conclude that if you want to enclose a given volume with a cylinder, while minimizing the surface area, that you should pick your height and radius so that they have this ratio.
QUESTION 1 Find the surface area of a rectangular prism with a length of 3, a width of 5, and a height of 10. The surface area is units QUESTION 2 Find the volume of a rectangular prism with a length of 3, a width of 5, and a height of 10. The volume is units. QUESTION 3 Find the volume of a cylinder with a radius of 3 and a height of 10. The volume is TT units (Do...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...