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Answer:
Step-by-step explanation:
Volume of a right circular cone can be found using the equation
where
- r is the radius of the cone
- h is the height of the cone
- pi is the π constant
Since r=4ft, we can model the volume of the water in the cone in terms of the height as
=
The probability is 0.69.
We find the z-scores that correspond with each end of the range we're looking for. To find a z-score, we use the formula:
Using a z-table (http://www.z-table.com) we see that the area under the curve left of the score 350 would be 0.228. The area under the curve left of the score 400 would be 0.918. To find just the range between 350 and 400, we subtract the area left of 350 from the area left of 400; this will give us just from 350 to 400:
0.918-0.228 = 0.69.
We find the z-scores that correspond with each end of the range we're looking for. To find a z-score, we use the formula:
Using a z-table (http://www.z-table.com) we see that the area under the curve left of the score 350 would be 0.228. The area under the curve left of the score 400 would be 0.918. To find just the range between 350 and 400, we subtract the area left of 350 from the area left of 400; this will give us just from 350 to 400:
0.918-0.228 = 0.69.