Question 1016905: A rectangle with a length and width equal to 6 cm and 4 cm respectively is revolved about its length.
a. Find the lateral area, surface area and volume of the right circular cylinder formed.
b. Suppose the rectangle is revolved about its width instead, what is the volume of the cylinder formed?
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! Hi there,
A rectangle with a length and width equal to 6 cm and 4 cm respectively is revolved about its length.
Radius = 4 cm, Height = 6 cm
Lateral Area (Side without ends)
(pi x diameter) x Height
(pi x 8) x 6
= 150.8 cm^2
.......
Surface area (Sides + Ends)
(pi x diameter) x Height + (2 x pi x r^2)
(pi x 8) x 6 + (2 x pi x 4^2)
= 251.3 cm^2
........
Volume = pi x radius^2 x height
Volume = pi x 4^2 x 6
Volume = 301.6 cm^3
.........
b) Revolved around its width
Radius = 6 cm, Height 4cm
Volume = pi x radius^2 x height
Volume = pi x 6^2 x 4
Volume = 452.4 cm^3
............
Hope this helps :-)
|
|
|
