Mathematics: What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?

What single percentage change is equivalent to a 13%

darrenturner

06.03.2020

$\pi r \sqrt{r^2+h^2}$

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

= $\pi r \sqrt{r^2+h^2}$

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