If the diameter of the cone is 5, then the radius of it will be half that, or 2.5, thus

$\bf \textit{total surface area of a cone}\\\\
SA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
------\\
SA=43.75\pi \\
r=2.5
\end{cases}
\\\\\\
43.75\pi =\pi (2.5)\sqrt{r^2+h^2}+\pi (2.5)^2
\\\\\\
43.75\pi -\pi (2.5)^2=2.5\pi \sqrt{r^2+h^2}
\\\\\\
43.75\pi -6.25\pi =2.5\pi \sqrt{r^2+h^2}\implies 37.5\pi =2.5\pi \sqrt{r^2+h^2}
\\\\\\
\cfrac{37.5\pi }{2.5\pi }=\sqrt{r^2+h^2}\implies 15=\sqrt{r^2+h^2}$

3 0

3 years ago

If you roll a standard 6 sided die, whats the probability that you get a 1,2,3,5, or 6?

Papessa [141]

Answer:

5/6

Step-by-step explanation:

1 has a 1/6 chance
2 has a 1/6 chance
3 has a 1/6 chance
5 has a 1/6 chance
6 has a 1/6 chance
1, 2, 3, 5, or 6 has a 1/6+1/6+1/6+1/6+1/6=5/6 chance

6 0

3 years ago

Read 2 more answers