Question

The volume of this cone is 83.7 cubic meters. Find the DIAMETER. SHOW ALL WORK

Answer 1

Given: Volume of the cone is 83.7 m³

We know that:

$\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}$

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

Given: Height of the cone = 5m

Substituting the values in the formula, we get:

$\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}$

$\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}$

$\sf{\implies \pi r^2 = 83.7 \times 0.6}$

$\sf{\implies \pi r^2 = 50.22}$

$\sf{\implies r^2 = \dfrac{50.22}{\pi}}$

$\sf{\implies r^2 = 16}$

$\sf{\implies r = 4}$

We know that : Diameter is two times the radius

⇒  Diameter of the Cone is 8 meters

Answer 2

There for the diameter is 2(4.8 )= 9.6 ft