- #1

- 435

- 13

**Uncertainty partial derivatives**

## Homework Statement

1 a) Give expressions for the uncertainty in both the area and volume of a right circular cone with radius R and height H and side length S. Assume that the radius has uncertainty σR and the height has an uncertainty σH. <----First part that I got.

b) For a radius R = 10.0 ± 0.1 cm and height H = 15.0 ± 0.2 cm, calculator the absolute uncertainty on both the area and the volume.

## Homework Equations

Surface area A = ∏*R^2 + (PI)*S*R

Volume V = (1/3)*∏*R^2*H

(S = sqrt(R^2 + H^2))

## The Attempt at a Solution

Ok so my attempt at solving this question was as follows

I tried to figure out the partial derivative with respect to the radius, and with respect to the height. When you get those the formula is

I was having trouble using the latex math equations thing so I just took a picture and here it is...

if it is unclear sigma and delta mean the same thing.

now I plugged in the values R = 10.0 ± 0.1 cm and height H = 15.0 ± 0.2 cm, and I got some absurdly high values, am I right, or did I do something wrong in my partial derivatives?

Last edited: