MATH SOLVE

3 months ago

Q:
# 8.What is the lateral area and the surface area of the cone shown below? Round the answers to the nearest tenth.the figure is not drawn to scale.if you have the answers for the whole test I'll take them too please

Accepted Solution

A:

Answer:Part 1) The lateral area is [tex]LA=791.7\ ft^{2}[/tex]Part 2) The surface area is [tex]SA=1,244.1\ ft^{2}[/tex][tex]LA=791.7\ ft^{2}[/tex], [tex]SA=1,244.1\ ft^{2}[/tex]Step-by-step explanation:step 1Find the lateral area of the conewe know thatThe lateral area of the cone is equal to[tex]LA=\pi rl[/tex]we have[tex]r=12\ ft[/tex][tex]l=21\ ft[/tex]substitute[tex]LA=(3.1416)(12)(21)=791.7\ ft^{2}[/tex]step 2Find the surface area of the conewe know thatThe surface area of the cone is equal to[tex]SA=\pi r^{2}+LA[/tex]we have[tex]r=12\ ft[/tex][tex]LA=791.7\ ft^{2}[/tex]substitute[tex]SA=(3.1416)(12)^{2}+791.7=1,244.1\ ft^{2}[/tex]