Question

the formula V equals 1/3 BH can be used to find the volume of a cone that has base area B and height H. Which formula expresses the height of the cone in terms of volume and base area?A. h = V/3BB. h = 3V - BC. h = 3V/BD. h = B/3V

Answer 1

`V=(1)/(3)B\cdot H`

Clear the equation for H.

- Multiply both sides by 3

`\begin{gathered} 3V=3\cdot(1)/(3)B\cdot H\text{ } \\ 3V=B\cdot H \end{gathered}`

- divide by the base area on both sides

`\begin{gathered} (3V)/(B)=(B)/(B)\cdot H \\ (3V)/(B)=H \end{gathered}`

The height of the cone in terms of volume and base area is

`H=(3V)/(B)`