Answer:
254.5 Inches Cubed
Step-by-step explanation:
Formula for Finding the Volume of a Cylinder:
The radius is 3 inches.
The height is three times the radius.
Multiply the radius by three to get the height.
The height is 9 inches.
Use the formula to find the volume.
The exact volume is 81 inches cubed.
≈ 254.47
254.47 ≈ 254.5
The volume of the cylinder should be about 254.5 inches cubed.
Answer:
-675
Step-by-step explanation:
The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.
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Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.
The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.
The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...
75(-9) = -675