Question

TUU SILICU.

A cone with radius 5 units is shown below. Its volume is 105 cubic units.

Find the height of the cone.

Use 3.14 for it and round your final answer to the nearest hundredth.

units

Help me

Answer 1

`r = 5 , V= 105`

And for this case we want to find the height, if we solve for h from equation (1) we got:

`h = (3V)/(\pi r^2)`

And replacing we got:

`h = (3*105)/(3.14 (5)^2) = 4.01`

And then height would be given by:

`h =4.01 units`

Explanation:

For this case we know that the volume for a cone is given by this formula:

`V = (\pi r^2 h)/(3)` (1)

And from the info given we have:

`r = 5 , V= 105`

And for this case we want to find the height, if we solve for h from equation (1) we got:

`h = (3V)/(\pi r^2)`

And replacing we got:

`h = (3*105)/(3.14 (5)^2) = 4.01`

And then height would be given by:

`h =4.01 units`

Answer 2

4.013 units

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