Find the missing measure for a right circular cone given the following information.. . Find h if r = 5 and V = 100.. . a)4. b)12. c)31
Volume = pi r^2 (h/3)
100 = 3.14 (25) (h/3)
100 = 78.5 (h/3)
h= 3.82
or
h= 4
Thus,
Best answer is option a) 4.
Answer:
B) 12
Step-by-step explanation:
Find h if r = 5 and V = 100π
First you ser up the equation for volume of a cone: \(V=\frac{\pi r^{2} h}{3} \\\)
Then you plug in your variables. In our case that is 5 for radius and 100π for volume.
So set up the equasion like this: \(100\pi = \frac{\pi 5^{2}h}{3}\)
Now multiply 5 by a power of 2 in order to get 25.
Your equsion should look like this: \(100\pi =\frac{25\pi h }{3}\)
Multiply both sides by 3.
\(300\pi =25\pi h\)
Then divide 300π by 25π.
This will leave you with h=12.