A cylinder is inscribed inside of a square prism so that touches each face of the rectangle or prism. The empty space outside of
the cylinder, but inside of the prism is to be filled with a liquid epoxy. If the cylinder has a circumference of 84.78 cm and the writing either prism is 40 cm tall, how many cubic centimeters of epoxy will be required to completely fill the empty spaces?
1 answer:
To solve take (Volume of Prism) - (Volume of Cylinder) = Epoxy
<span>V=(Area of base)(height)
</span>
Both they Cylinder and prism have a height of 40 inches
we can find the sides of the base of the prism by finding the diameter of the cylinder.
C=πd so 84.78 = πd.
Divide both sides by Pi (3.14)
Half of the diameter is the radius to find the area of the cylinder base. 27/2=13.5
The volume of Prism is found by
27*27*40 = 29160 sq cm
The volume of cylinder is found by
using
= 22890.6
29160 - 22890.6 = 6269.4 cubic centimeters
<span>V=(Area of base)(height)
</span>
Both they Cylinder and prism have a height of 40 inches
we can find the sides of the base of the prism by finding the diameter of the cylinder.
C=πd so 84.78 = πd.
Divide both sides by Pi (3.14)
Half of the diameter is the radius to find the area of the cylinder base. 27/2=13.5
The volume of Prism is found by
27*27*40 = 29160 sq cm
The volume of cylinder is found by
using
29160 - 22890.6 = 6269.4 cubic centimeters
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Answer:
The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
In which z is related to the confidence level, s to the standard deviation and n to the sample size.
The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.
In this question:
One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.