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

30 cm

Given,

Volume of a cone = 1540 cm
`{}^(3)`

Radius ( r ) = 7 cm

π ( pi ) =
`(22)/(7)`

Height of cone ( h ) = ?

Now, let's find the height of cone:

Volume of cone =
`\pi \: {r}^(2) (h)/(3)`

plug the values

`1540 = (22)/(7) * {(7)}^(2) * (h)/(3)`

Evaluate

`1540 = (22)/(7) * 49 * (h)/(3)`

Calculate

`1540 = (154 \: h)/(3)`

Apply cross product property

`154 \: h = 1540 * 3`

Calculate the product

`154 \: h = 4620`

Divide both sides of the equation by 154

`(154 \: h)/(154) = (4620)/(154)`

Calculate

`h \: = 30 \: cm`

Hope this helps...

Best regards!!