Given the sequence 1, 9, 25, 49, 81, ..., find the explicit formula. A. an=(2n−1)2an=(2n−1)2 B. an=n2−1an=n2−1 C. an=−4n+2an=−4n
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Answer:
Step-by-step explanation:
If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).
That's volume outer - volume inner. To find the outer volume:
so
and
and do the same for the inner volume:
and
Subtract the inner from the outer:
If you need your answer in decimal form, then the volume is
9189.16 cm³