Answer:
1440π squared mm.
Step-by-step explanation:
Given is the radius of base of cylinder, r = 12mm.
The altitude is five times the base radius, h = 5 times 12mm = 60mm.
The lateral area of the cylinder is the curved surface area of the cylinder.
The formula for curved surface area of cylinder is as follows:-
Curved Surface Area = Circumference of base x altitude of cylinder.
SA = 2πrh = 2π•12•60 = 1440π sq. mm.
Hence, Lateral area of cylinder is 1440π squared mm.
Answer:
1440π
Step-by-step explanation:
We are given the radius of the base of a right cylinder to be 12 mm and its altitude or height to be 5 times the base radius which is equal to (12 x 5) = 60 mm.
We know the formula for the lateral area of a right cylinder:
[tex]A = 2\pi rh[/tex]
So putting in the given values with [tex]\pi[/tex] as it is to get:
[tex]A=2\pi *12*60[/tex]
[tex]A=2(720)\pi[/tex]
[tex]A=1440\pi[/tex]
Therefore, the lateral area of this right cylinder is 1440π.
