The formula for the lateral area of a right cone la=pirs, where r is the radius of the base and s is the slant height of the cone. which are equivalent equations?
Answer:
\(\pi r \sqrt{r^2+h^2}\)
Step-by-step explanation:
Given that there is a cone with radius r and slant height s.
We know that lateral surface area of the cone is
=\(\pi r s\)
Alternately if instead of s, h is known we can write this in terms of h also.
Consider the right triangle formed by slant height, height and radius of the cone.
Using Pythagorean theorem we have
\(s^2=r^2+h^2\)
Or \(s=\sqrt{r^2+h^2}\)
Hence lateral surface area of the cone
=\(\pi r \sqrt{r^2+h^2}\)
Answer:
A And D
Step-by-step explanation:
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