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`.