Question

How to find the radius of a cone from only the height and volume

Answer 1

Either use the formula given below or , Use the formula for volume of a cone .

`h = 36 \\Volume = 588pi\\r = \\588pi = (1)/(3)pir^(2) 36\\Cross-multiply\\1764pi=36pir^(2) \\Divide-both-sides-of-the-equation-by-36pi\\r^(2) =(1764pi)/(36pi) \\r^(2) = 49\\Square -root-both-sides-of-the-equation.\\\sqrt{r^(2) } =√(49) \\r = 7`

Explanation:

`Volume -of -a- cone = (1)/(3) pir^(2) h\\Method 1 : Make- r- the -subject -of-the-formula.\\V = (1)/(3) pir^(2) h \\Cross-multiply\\3V = pir^(2) h \\Divide- both- sides -of- the -equation -by - pih\\(3V)/(pih) =r^(2) \\Square-root-both-sides-of-the-equation\\r = \sqrt{(3V)/(pih) }`

Answer 2

Answer:the radius of a cone is the radius of its circular base. You can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20.