Question

Find the lateral area of the cone in terms of pi. The radius is 22 in and the height is 26 in. Options are A) 572 pi in^2, B) 276 pi in^2, C) 196 pi in^2, D) 286 pi in^2.

Answer 1

The formula for LA is
`\pi (radius*slant height)`. Right now we only know the height but we need to know the slant height so we can set up a triangle inside the cone (look at attached image). The slant height is the hypotenuse. Solving for it we get
`2 √(290)`. Now we can plug everything we have into the formula:
`\pi (22*2 √(290) )`. This means LA is
`44 \pi √(290)` but that's not one of the options even if i turn it into a decimal so recheck my work but I'm pretty sure this is the answer.

Answer 2

The answer that I chose was A because it is remotely close to the real answe