Question

Any help if possible Thank you ❤

Answer 1

So we are given in the question the surface area of the curved part:

$SA= \pi rl$

We have those values already, so we can readily solve for that:

$SA= \pi (5)(9)=45 \pi$

And the question said to leave it in terms of $\pi$, so we do not need to simplify further.

Let us solve for the base now. The base is a circle, and we know that the area of a circle is found using the equation:

$A= \pi r^{2}$

We can also readily solve for this using 5 for r:

$A= \pi (5)^{2} =25 \pi$

And now that we have both surfaces, we can add them together to find the total surface area:

$SA=45 \pi +25 \pi =70 \pi$

So now we know that the total surface area of this cone is $70 \pi$.