Answer: Diameter of a cone = 6 inches.
Explanation:
Since we have given that
Height = 6 inches
Volume = 56.52 cubic inches
As we know the formula for the "Volume of cone", which is given by
[tex]V=\frac{1}{3}\pi r^2h\\\\56.52=\frac{1}{3}\times 3.14\times r^2\times 6\\\\56.52=3.14\times r^2\times 2\\\\56.52=6.28\times r^2\\\\\frac{56.52}{6.28}=r^2\\\\9=r^2\\\\\sqrt{9}=r\\\\3=r[/tex]
Hence, diameter is given by
[tex]D=2\times r=2\times 3=6\ inches[/tex]
