Answer:
A = 100π units²
Step-by-step explanation:
To answer this we first find the circumference C = 2πr, and then multiply this C by the height:
C = 2πr, or C = πd. Here, C = π(10 units).
Then the lateral area of the cylinder is A = C*(10 units), or
A = 10π(10) units², or
A = 100π units²
The lateral surface area of the given right cylinder is 314 square units.
The lateral surface area of a right cylinder is the product of the circumference of the base and the height of the cylinder.
Given, the base diameter(d) of the cylinder is 10 units.
Therefore, the base radius(r) of the cylinder is
[tex]= \frac{10}{2} units\\= 5 units[/tex]
The height(h) of the cylinder is 10 units.
Therefore, the lateral surface area of the cylinder is
= 2πrh square units
[tex]= 2(3.14)(5)(10)[/tex] square units
[tex]= 314[/tex] square units
Learn more about the lateral surface area of a right cylinder here: https://brainly.com/question/16208547
#SPJ2
