Answer:
4.013 units
Step-by-step explanation:
We know that the volume of a cone is given by the following equation:
v = pi / 3 * r ^ 2 * h
we need to know the height, therefore we solve for h:
h = 3 * v / (pi * r ^ 2)
replacing v = 105 and r = 5
h = 3 * 105 / (3.14 * 5 ^ 2)
h = 4.013
Which means that the height measures 4.013 units
Answer:
[tex] r = 5 , V= 105 [/tex]
And for this case we want to find the height, if we solve for h from equation (1) we got:
[tex] h = \frac{3V}{\pi r^2}[/tex]
And replacing we got:
[tex] h = \frac{3*105}{3.14 (5)^2} = 4.01[/tex]
And then height would be given by:
[tex]h =4.01 units[/tex]
Step-by-step explanation:
For this case we know that the volume for a cone is given by this formula:
[tex] V = \frac{\pi r^2 h}{3}[/tex] (1)
And from the info given we have:
[tex] r = 5 , V= 105 [/tex]
And for this case we want to find the height, if we solve for h from equation (1) we got:
[tex] h = \frac{3V}{\pi r^2}[/tex]
And replacing we got:
[tex] h = \frac{3*105}{3.14 (5)^2} = 4.01[/tex]
And then height would be given by:
[tex]h =4.01 units[/tex]
