Question

Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi.

Answer 1

Volume of cone = (1/3)pi*r²h

56.52 = (1/3)*3.14*r²*6

56.52/(2*3.14) = r²

9 = r²

r² = 9

r = √9

r = 3

Diameter = 2*r = 2*3 = 6 inches

Answer 2

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

$V=\frac{1}{3}\pi r^2h\\\\56.52=\frac{1}{3}\times 3.14\times r^2\times 6\\\\56.52=3.14\times r^2\times 2\\\\56.52=6.28\times r^2\\\\\frac{56.52}{6.28}=r^2\\\\9=r^2\\\\\sqrt{9}=r\\\\3=r$

Hence, diameter is given  by

$D=2\times r=2\times 3=6\ inches$