The cylinders are similar. The volume of the larger cylinder is 9648 cubic inches. What is the volume of the smaller cylinder?
1 answer:
Hey there :)
The volume formula of a cylinder is:
V =
r²h
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 =r²(18)
= r²
536 =r²
= r²
= r
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger
r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) =(6.53)²(9)
= 1206 in³
The volume formula of a cylinder is:
V =
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 =
536 =
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger
r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) =
= 1206 in³
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Answer:
Step-by-step explanation
The relative error is the absolute error divided by the absolute value of p. for an approximation p*, the relative error is
r = |p*-p|/|p|
we want r to be at most 10⁻³, thus
|p*-p|/|p| ≤ 10⁻³
|p*-p| ≤ |p|* 10⁻³
therefore, p*-p should lie in the interval [ - |p| * 10⁻³ , |p| * 10⁻³ ], and as a consecuence, p* should be in the interval [p - |p| * 10⁻³ , p + |p| * 10⁻³ ]