Question

The formula for the volume of a cone is equal v=1/3
`\pi`r²h,

Answer 1

hello

to solve this question, let's make r the subject of formula

volume of a cone =

`\begin{gathered} v=(1)/(3)\pi r^2h \\ 3v=\pi r^2h \\ \text{divde both sides by }\pi h \\ (3v)/(\pi h)=(\pi r^2h)/(\pi h) \\ r^2=\frac{3v}{\pi\text{h}} \\ r=\sqrt[]{(3v)/(\pi h)} \\ r=\text{radius} \\ v=\text{volume} \\ \pi=3.14 \\ h=\text{height } \end{gathered}`

b

volume = 125cm^3

radius (r) = ?

height (h) = 12cm

the radius of the cone is equal to 3.15cm