Question

find the height of a cone with a diameter of 12m whose volume is 264m ^3 . use 3.14 for π and round your answer to the nearest meter . A. 42m B. 6m C. 7mD. 2m

Answer 1

find the height of a cone with a diameter of 12m whose volume is 264m ^3 . use 3.14 for π and round your answer to the nearest meter .





A. 42m

B. 6m

C. 7m

D. 2m​

we have that

The volume of a cone is equal to

`V=(1)/(3)\cdot\pi\cdot r^2\cdot h`

we have

V=264 m3

pi=3.14

r=12/2=6 m ------> the radius is half the diameter

substitute

`264=(1)/(3)\cdot3.14\cdot6^2\cdot h`

solve for h

`\begin{gathered} h=(264\cdot3)/(3.14\cdot36) \\ \\ h=7\text{ m} \end{gathered}`

answer is option C