The lateral area of a right cylinder having a base diameter of 10 units and height of 10 units is:

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