Question

The volume of the cone is 83.7 cubic meters. Find the diameter. Round your answer to the nearest whole number.

Answer 1

Answer:

9.6 ft

Step-by-step explanation:

The cone is shown in the attachment

The volume of a cone is calculated using: $V=\frac{\pi r^2h}{3}$

We have that the volume is 83.7 and from the diagram , the height is $3.5 ft$.

We substitute to obtain:

$83.7=\frac{3.14*r^2*3.5}{3}$

This implies that:

$r^2=\frac{83.7*3}{3.5*3.14} \\r^2=22.848\\r=\sqrt{22.848}\\ r=4.8$

The diameter is two times the radius.

Therefore the diameter is $2(4.8)=9.6ft$