A cone has a base radius of 5 centimeters and a height of 18 centimeters.
What is the volume of the cone?
A.
30π cm3
B.
450π cm3
C.
90π cm3
D.
150π cm3
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pooja195 (pooja195):
Oh this doesnt include pi :/
OpenStudy (twizttiez):
Ohhh then what do I do?
OpenStudy (zehanz):
Use the formula for volume:
\(V=\frac{1}{3}\cdot A\cdot h\)
OpenStudy (zehanz):
Because the base of the cone is a circle, A (area) is \(\pi \cdot 5^2\).
The height h is 18 cm, so put the numbers in the formula to get the right answer...
OpenStudy (twizttiez):
Okay one second
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OpenStudy (twizttiez):
My area is 78.5?
OpenStudy (zehanz):
How did you do that?
OpenStudy (twizttiez):
3.14*5^2
OpenStudy (twizttiez):
Right?
OpenStudy (zehanz):
Let's see, we have to calculate the product of: \(\frac{1}{3}\), \(5^2\), \(\pi\) and 18.
It is easy to do \(\frac{1}{3}\cdot 18=6\).
So now I have \(6\cdot 5^2\cdot \pi=6\cdot 25\cdot \pi=150\pi\).
You don't need a calculator, it can be done in the head!
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OpenStudy (twizttiez):
Ohhhhhh
OpenStudy (twizttiez):
I kept over thinking it
OpenStudy (twizttiez):
Thanks so much man
OpenStudy (twizttiez):
Could you help me on another one?
OpenStudy (zehanz):
Sorry, have to go.
Tomorrow I rise early to go to work...(it's 11.30 PM here).