SOLUTION: A closed cylinder has total surface area equal to 600π. Show that the volume, V cm^3, of this cylinder is given by the formula V=300πr-πr^3, where r cm is the radius
Algebra.Com
Question 1074738: A closed cylinder has total surface area equal to 600π. Show that the volume, V cm^3, of this cylinder is given by the formula V=300πr-πr^3, where r cm is the radius of the cylinder. Find the maximum volume of such a cylinder.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Total Surface area
Includes a length between the two circle parts, h.
VOLUME
-------DONE
-
Maybe you can do the rest - finding maximum volume
RELATED QUESTIONS
A closed cylinder has a curved surface area of 72π cm squared and a height of 4cm.... (answered by josgarithmetic)
A cylinder has a radius of 5 in. If the volme of the cylinder is 250π in.3, what is... (answered by checkley71)
hello please help me ans these question it is a revision of mathematics i was doing and... (answered by Alan3354)
A cylinder has a radius of 5 in. If the volme of the cylinder is 250π in.³, what is... (answered by ankor@dixie-net.com)
A graduated cylinder, pictured, is used to measure solutions in a laboratory. It is open... (answered by Alan3354)
Find the volume of a right circular cylinder with volume 1000 cm^3 and surface area 600... (answered by Alan3354)
Hey i would like some help with this: The formula for the surface area of a cylinder is... (answered by Alan3354)
Can you please show me how to do this??
The height of a cylinder is 6 ft greater then... (answered by ankor@dixie-net.com)
Find the dimensions of a right circular cylinder with volume 1000 cm^3 and surface area... (answered by josgarithmetic)