Question

I need to know the surface areas of this cone.

Answer 1

Given:

lateral height = 10 in

diameter = 7 in

The surface area of a cone can be calculated using the formula:

`\begin{gathered} S.A\text{ = }\pi r^2\text{ + }\pi rl \\ Where\text{ r is the radius and l is the slant height} \end{gathered}`

Substituting the given values into the formula:

Recall that:

`r\text{ = }(diameter)/(2)`
`\begin{gathered} S.A\text{ = }\pi*((7)/(2))^2\text{ + }\pi*(7)/(2)*10 \\ =\text{ 148.44025} \\ \approx\text{ 148.44 in}^2 \end{gathered}`

Answer:

Surface Area : 148.44 square inch