Question

The plane region is revolved completely about the x-axis. Find its surface area in EXACT form (in terms of pi and/or with simplified radicals as necessary). ​

Answer 1

Answer: The Given plane region is missing attached below is the plane region

answer : 24 π or 75.40 sq. units

Explanation:

Given data :

Height of plane region = 3

base of plane region = 4

When we revolved the plane region completely we will we forming a cone hence we will calculate for the surface area of a cone

Radius of the new cone = 3

Height of the cone = 4

slant height of the cone ( l ) =
`√(4^2 +3^2)` = 5

surface area of cone = πr^2 + πrl

= π ( 3 )^2 + π (3 ) ( 5 )

= 24 π or 75.40 sq. units