NUSH Problems
MA3132 Tutorial 6.2 Q6
MA3132 Tutorial 6.2 Q6
The volume of a solid right circular cylinder of radius r cm is 432π cm3. Given that the total surface area of the cylinder is S cm2, prove that
The volume of a solid right circular cylinder of radius r cm is 432π cm3. Given that the total surface area of the cylinder is S cm2, prove that
S = 2πr2 + 864π/r.
S = 2πr2 + 864π/r.
(i) Calculate the value of r for which S has a stationary value.
(i) Calculate the value of r for which S has a stationary value.
(ii) Determine whether this value of r makes the surface area a maximum or a minimum, and find the corresponding height of the cylinder.
(ii) Determine whether this value of r makes the surface area a maximum or a minimum, and find the corresponding height of the cylinder.
MA3132 Assignment 5 Question 4
MA3132 Assignment 5 Question 4
Use the applet below to observe how the volume changes as the height changes.
Use the applet below to observe how the volume changes as the height changes.