Find the volume of the cone.
1 answer:
Answer:
3142.86 cubic cm
Step-by-step explanation:
volume of cone is given by formula
volume of cone = 1/3(area of base*height)
Given radius of base = 10cm
we know area of circle is given by where r is radius of circle
thus area of base of cone is calculated below
area of base of cone is 314.2857 square cm
height = 30 cm
Thus volume of cone = 1/3* (area of base*height)
= 1/3(314.2857*30)
= 1/3 *9428.571 = 3142.857.
Thus, volume of cone is 3142.857 cubic cm.
volume of cone to the nearest hundredth is 3142.86 cubic cm
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Answer:
A = 143.2
Step-by-step explanation:
A= πr² = π(6.75)² = × 45.5625 = 143.196 ≈143.2
Answer:
So on this case the 95% confidence interval would be given by (23.9;32.1)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
s=10 represent the sample standard deviation
n=25 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (23.9;32.1)