Question

I need to know what the surface area of the figure is. round to the nearest hundredth where necessary. please help!

Answer 1

Answer:

$A\text{ = 597.62 mm}^2$

Explanation:

Here, we want to calculate the surface area of the cone

Mathematically, we can calculate this using the following formula:

$A\text{ = }\pi r\left(r+l\right)$

where r is the base radius of the cone which is 8 mm

and l can be calculated as follows:

$l\text{ = }\sqrt{r^2+h\placeholder{⬚}^2}$

where h is the height of the cone

Substituting the values, we have it that:

$A=\text{ }\pi\left(8\right)\left(8+\sqrt{8^2+13.6^2\text{ }}\right)$

pi has a value of 22/7

$A\text{ = 597.62 mm}^2$