Write an explicit formula for a n , the n ^ (th) term of the sequence =6,-30,150,....
1 answer:
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<h2>Hello!</h2>
The answer is:
The third option:
2.7 times as much.
<h2>Why?</h2>To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.
So, calculating we have:
Old can:
Since the cans have a right cylinder shape, we can calculate their volume using the following formula:
Where,
We are given the old can dimensions:
So, calculating the volume, we have:
We have that the volume of the old can is:
New can:
We are given the new can dimensions, the diameter is increased but the height is the same, so:
Calculating we have:
Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:
Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:
2.7 times as much.
Have a nice day!