Question

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

Answer 1

Answer:

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 = $\pi r\times l$, where l is the length of the lateral side.

So, we get $L_{A}$ = $\pi r\times h$.

Also, Lateral surface area of cylinder is $2\pi r\times h$, where h is the height of the cylinder.

So, we get $L_{B}$ = $2\pi r\times h$

Thus, we see that, $L_{A}=\frac{1}{2}\times L_{B}$

Hence, the given statement is correct.