Answer:
The diameter of the cone is 1.8 inches.
Step-by-step explanation:
Let r be the radius of the cone,
Since, we know that,
The volume of a cone is,
[tex]V=\frac{1}{3}\pi R^2 h[/tex]
Where, R is the radius of the cone,
h is the height of the cone,
We have, V = 3.6 in², h = 4.2 in
[tex]3.6 = \frac{1}{3}\pi (r)^2(4.2)[/tex]
[tex]10.8 = \pi(r)^2(4.2)[/tex]
[tex]\frac{10.8}{4.2}=\pi (r)^2[/tex]
[tex]\implies r = \sqrt{\frac{10.8}{4.2\pi}}=0.905\text{ in}[/tex]
Hence, the diameter of the cone = 2r = 2 × 0.905 = 1.81 ≈ 1.8 inches.
