64.2k views
1 vote
Given: The slant height of the cone is 18 mm.5 mm18 mmWhich is the surface area of the cone?O 907O 1007O 111.57O 1157

Given: The slant height of the cone is 18 mm.5 mm18 mmWhich is the surface area of-example-1
User Jaleh
by
3.3k points

1 Answer

3 votes

Given:

Radius of cone, r=5mm.

Slant height of the cone, l=18mm.

The Surface area of cone formula is,


A=\pi rl

Therefore, the surface area of the given cone is,


\begin{gathered} A=\pi*5*18 \\ =90\pi \end{gathered}

Therefore, the surface area of the given cone is,


90\pi

Hence, the lateral surface area of the cone ,


90\pi

The total surface area of the cone formula is,


A=\pi r(l+r)

Therefore,


\begin{gathered} A=\pi(5)(5+18)_{} \\ =\pi*5*23 \\ =115\pi \end{gathered}

Therefore, the correct option is D.

User Wishmaster
by
4.0k points