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). ​

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

answer : 24 π  or 75.40 sq. units

Step-by-step 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 )  =  = 5

surface area of cone = πr^2 + πrl

                                   = π ( 3 )^2  + π (3 ) ( 5 )

                                   = 24 π  or 75.40 sq. units

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi