Question

The volume of this is cone 923.16 cm what is the radius of this cone

Answer 1

Hey there!

`\rightarrow \sf{ r = \sqrt{3 (v)/(\pi \ h) }} \: \rm{or} \: \sf{v = (1)/(3) \pi \: {r}^(2) * h}`

`\rightarrow \sf{923.16 = (1)/(3) (3.14) {r}^(2) * h}`

`\rightarrow \sf{\: 1.046667 {hr}^(2) =923.16}`

`\rightarrow \sf{ \frac{1.046667 {hr}^(2) }{1.046667} = (923.16)/(1.046667) }`

`\rightarrow \: \sf{ {r}^(2) = (923.16)/(1.046667h)}`

`\rightarrow \: \sf{ r = \sqrt{ (923.16)/(1.046667h)}}`