Nick has an empty cylindrical cup that he wants to fill with water, as shown below. He wants to fill the cup to the top. How much water, in cubical units, is needed to accomplish this task?
Select one:
A. 40π
B. 80π
C. 120π
D. 160π
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OpenStudy (anonymous):
OpenStudy (anonymous):
Volume of a cylinder can be calculated like so: V = pi(r)^2 * h
OpenStudy (anonymous):
\[\pi(r ^{2})h =V\]
OpenStudy (anonymous):
r in this case is 4, and the height is 16. You got this.
OpenStudy (anonymous):
0.36
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OpenStudy (anonymous):
V = pi(4^2)*16
What is 4^2?
OpenStudy (anonymous):
4*4 = ?
OpenStudy (anonymous):
16
OpenStudy (anonymous):
And then 16*16 = ?
OpenStudy (anonymous):
256
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OpenStudy (anonymous):
Hmm, it should come out to V = 256pi
Here is a picture of the volume of a Cylinder
OpenStudy (anonymous):
Ohh, I said 16 sorry, the h = 10
So it's pi(4^2)*10 =V
OpenStudy (anonymous):
4^2 = 16
And the h = 10
So it's V = 16*10pi
OpenStudy (anonymous):
502.4????
OpenStudy (anonymous):
Well, your answers are only given in terms of pi
If V = pi(r^2)h
And we know r and h.
r = 4
h = 10
Then we know it is \[\pi * 4^{2}*10 \rightarrow \pi * 16*10 \rightarrow \pi * 160 \]
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