The volume of a sphere is calculated through the equation,
V = 4πr³ /3
where r is the radius of the given.
If the radius is 2.86, we can substitute the value to the equation above such that,
V = 4π(2.86)³ / 3 = 97.99π m³
When the radius is 0.09 m plus the given radius then,
V = 4π(2.86 - 0.09)³ / 3 = 89.03π m³
The difference between the volumes is equal to,
difference = 97.99π - 89.03π m³ = 8.96π m³
Dividing this to the original volume and multiplying by 100%,
percentage = (8.96π/97.99π) x 100%
percentage = 9.14%.
Hence, the expected percent uncertainty is equal to 9.14%.
Step-by-step explanation:

find a common denominator of 12 for each fraction




multiply both sides by 12

12s cancel out

add three to both sides


divide both sides by 10

The tens on the left side cancel

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In below formula for arithmetic sequence you can fill in a=7 (start), d=2 (interval) and n=35 (nr terms) and you get
17.5(14 + 34*2) = 1435
Confirmed by a brute-force addition: 7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75=1435
Since 5×4 is in brackets, we start with that
so 2÷3 (20)÷3+6÷7
we do ×/÷ first from the left
so 4.44+ 0.8571428571 = 5.301