Question

The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)

Answer 1

`h=30`

Explanation:

Volume of a cone=1540
`cm^(3)`, Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is
`(1)/(3) \pi r^(2) h` to find the height of a cone.

`1540cm^(3) =(1)/(3)\pi r^(2) h`

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

`1540cm^(3)=(1)/(3)*(22)/(7) 7^(2)h`

`1540cm^(3) =(154)/(3)h`

Move
`(154)/(3)` to another side. 1540 divided by
`(154)/(3)` to calculate what is the value of h, h is the height of a cone. Like this.

`(1540cm^(3) )/((154)/(3) ) =h`

`30=h`

Rearrange the h.

`h=30`

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

Answer 2

The height of the cone is h = 30 cm.

Explanation:

The formula for a cone is:

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

We have (without using units) and using pi = 22/7:

`\\ 1540 = (1)/(3)*(22)/(7)*(7)^2*h`

Which is equals to:

`\\ 1540 = (1)/(3)*(22)/(7)*(7)*h`

`\\ 1540 = (1)/(3)*22*7*h`

Well, we have to solve the equation for h:

`\\ (1540*3)/(22*7) = h`

`\\ 30 = h`

Therefore, the height of the cone is 30 cm.