Given:
lateral height = 10 in
diameter = 7 in
The surface area of a cone can be calculated using the formula:
[tex]\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}[/tex]Substituting the given values into the formula:
Recall that:
[tex]r\text{ = }\frac{diameter}{2}[/tex][tex]\begin{gathered} S.A\text{ = }\pi\times(\frac{7}{2})^2\text{ + }\pi\times\frac{7}{2}\times10 \\ =\text{ 148.44025} \\ \approx\text{ 148.44 in}^2 \end{gathered}[/tex]Answer:
Surface Area : 148.44 square inch