SOLUTION: 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 cylin

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 :-)
RELATED QUESTIONS
A rectangle with length and width equal to 6 cm and 4 cm respectively is revolved about... (answered by Cromlix)

A 3 by 4 inches rectangle is revolved about its shorter side to generate a right circular (answered by ankor@dixie-net.com)

A rectangle has length 36 cm and width 28 cm. Find the length of another rectangle of... (answered by mananth)

the legnth of a rectangle is 4 cm less than twice its width. its perimeter is 40 cm. find (answered by tutor_paul)

A rectangle is 6 cm wide and 15 cm long. Find the length of its diagaonal. (answered by lwsshak3)

the perimeter of a rectangle is 112 cm. the length is 6 cm greater than 4 times the... (answered by TimothyLamb)

the length of a rectangle is 6 cm and the width is 3 cm find the length of a diagonal (answered by solver91311)

What is the length of the diagonal of a rectangle with width 8 cm and length 6... (answered by jim_thompson5910,ewatrrr)

the length of a rectangle is three less than twice the width and its equal to 44 sq. cm... (answered by checkley79)