True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b

True

Step-by-step explanation:

We have that,

The cone A has the length of the lateral side = h and the height of the cylinder  B = h.

Since, the lateral surface areas are given by,

Lateral surface area of cone = , where l is the length of the lateral side.

So, we get = .

Also, Lateral surface area of cylinder is , where h is the height of the cylinder.

So, we get =

Thus, we see that,

Hence, the given statement is correct.