<span>n² + 2n – 24=0
</span><span>n² + 6n-4n – 24=0
</span><span>n(n + 6) – 4(n+6)=0
(n+6)(n-4)=0
Hence,
n=4
or
n=-6</span>
Answer:
Error in the sphere's surface: 29
and relative error in surface measure: 0.011
Error in the sphere's volume: 205
and relative error in the volume measure: 0.017
Step-by-step explanation:
(a)
The measured length (l) of the circumference is 90 cm with an error of 0.5 cm, that is:

and with regards to the error:

then when we use the formula for the sphere's surface, we get:

Then the relative error in the surface is:

(b)
Use the formula for the volume of the sphere:

Then the relative error in the volume is:

Your answer is 0.40 ......................