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

2 answers:

5 0

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.

bija089 [108]3 years ago

3 0

Answer:

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

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

Step-by-step explanation:

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

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