Question

The circumference of a sphere was measured to be 76 cm with a possible error of 0.2cm.

1. Use differentials to estimate the maximum error in the calculated surface area.

Please round the answer to the nearest tenth.

2. What is the relative error in the calculated surface area?

_____cm^2

Please round the answer to the nearest tenth.

_________%

3.Use differentials to estimate the maximum error in the calculated volume.

Please round the answer to the nearest tenth.

______cm^3

4.What is the relative error in the calculated volume? Please round the answer to the nearest tenth.

_____%



C= 2PI r
dC= 2PI dr
dr= dC/2PI

S= 4PI r^2
dS= 8PI r dr= 8PI r/2PI dC=2C/PI dC
check my thinking

Solve for dS given C, and dC

i'll try it out thanks