Question

A cone with radius 2 units is shown below. Its volume is 29 cubic units.

h
Find the height of the cone.
Use 3.14 form and round your ina answer to the nearest hundredth.

Answer 1

`h=6.93units`

Explanation:

1. Use the formula of volume of a cone

Volume of a cone=
`(1)/(3)\pi r^(2) h`

2. Collecting the information from a question.

In the question, we know that radius=2 units, Volume of a cone=29 cubic units, height of a cone=?

In this question, we can also know that the question requires us to find the height of a cone.

3. Put the value of variables into the formula.

We can put all the information that are provided by a question into the formula of volume of a cone to find the answer.

`(1)/(3) *3.14 * 2^(2) h=29 units^(3)`

pi replaces with 3.14, radius replaces with 2 units, Volume of a cone replaces with 29 units3 and we don't know what is the value of h.

Now, let's simplify and calculate the value of h.

We can simplify the formula like this,

`(314)/(75)h =29 units^(3)`

`(314)/(75)` is the result of
`(1)/(3)* 3.14*2^(2)`

Move
`(314)/(75)` to other side.

`h=(29units^(3) )/((314)/(75) )`

`h= 6.92675 units`

But wait, this is not final answer yet, the question requires the answer to the nearest hundredth. So, we need to convert the answer to the nearest hundredth.

`h= 6.92675 units`

`h=6.93units`

So, the final answer is 6.93 units.

I hope my solution and explanation are clear for you. If you still cannot understand my point, you can ask me anytime!! Thank you!