Question

Find the surface area. Round if necessary. (h 22.4 mi) (radio 10 mi) A) 1500.3 mi C) 1097.7 mi? B) 1517.7 mi? D) 1017.9 mi?

Answer 1

The slant height of the cone

`\text{slant height = 22.4mi}`

Radius of the base of cone

`\text{ radius = 10 mi}`

The surface area of cone is:

`\text{ Surface are of cone = }\Pi radius\text{ }* slant\text{ height+}\Pi radius^2`

Substitute the value and simplify

`\begin{gathered} \text{ Surface area of cone = }(22)/(7)*10*22.4+(22)/(7)*10*10 \\ \text{Surface area of cone = 1017.9mi}^2 \end{gathered}`

Answer: D) 1017.9 mi^2