Question

Learning Diagnostic Analytics Recommendations Skill plans Social stu La Language arts All Science Math Eighth grade ) T.11 Volume of cones YYR A cone has a height of 14 meters and a diameter of 12 meters. What is its volume? Use A 3.14 and round your answer to the nearest hundredth. cubic meters Submit

Answer 1

The volume of a cone is calculated as follows:

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

where r is the radius and h is the height of the cone.

Given that the diameter of the cone is 12 meters, then its radius is 12/2 = 6 meters

Substituting into the equation with h = 14 m, and r = 6 m, we get:

`\begin{gathered} V=3.14\cdot6^2\cdot(14)/(3) \\ V=3.14\cdot36\cdot(14)/(3) \\ V=527.52m^3 \end{gathered}`