What is an estimation of 492.6 divided by 48
2 answers:
Answer:
10.
Step-by-step explanation:
We are asked to find the estimation of 492.6 divided by 48.
First of all, we will round 492.6 to nearest hundreds and 48 to nearest tens.
Since tens digit of 492.6 is greater than 5, so we will round up to nearest hundred as:
Since ones digit of 48 is greater than 5, so we will round up to nearest tens as: .
Now, we will find the quotient as:
Therefore, an estimation of 492.6 divided by 48 would be 10.
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Answer:
volume V of the solid
Step-by-step explanation:
The situation is depicted in the picture attached
(see picture)
First, we divide the segment [0, 5] on the X-axis into n equal parts of length 5/n each
[0, 5/n], [5/n, 2(5/n)], [2(5/n), 3(5/n)],..., [(n-1)(5/n), 5]
Now, we slice our solid into n slices.
Each slice is a quarter of cylinder 5/n thick and has a radius of
-k(5/n) + 5 for each k = 1,2,..., n (see picture)
So the volume of each slice is
for k=1,2,..., n
We then add up the volumes of all these slices
Notice that the last term of the sum vanishes. After making up the expression a little, we get
But
we also know that
and
so we have, after replacing and simplifying, the sum of the slices equals
Now we take the limit when n tends to infinite (the slices get thinner and thinner)
and the volume V of our solid is
