Alison used a coordinate grid to show where the trees are in her backyard. She wants to put a birdbath exactly halfway between t
he two oak trees. What are the coordinates of this location? If each grid represents 1 foot, how far apart are the two oak trees? What is the perimeter of the triangle determined by the three trees? (Round your answer to the nearest foot)
1 answer:
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Answer:
Therefore the maximum error in the surface area of the sphere is 22.27 cm².
Therefore the relative error is 0.014 (approx).
Step-by-step explanation:
Given that, The circumference of a sphere was 70 cm with the possible error 0.5 cm.
The circumference of the sphere is C
∴C
Differentiating with respect to r
[ relative error = dC= 0.5]
The surface area of the sphere is S=
∴S=
Differentiating with respect to r
dS will be maximum when dr is maximum.
Putting the value of r and dr
[ ∵ C= 70 ]
⇒dS= 22.27 (approx)
Therefore the maximum error in the surface area is 22.27 cm².
Relative error
=0.014 (approx)
Therefore the relative error is 0.014 (approx).