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.

Step-by-step 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=(1)/(3)\pi r^2h\\\\56.52=(1)/(3)* 3.14* r^2* 6\\\\56.52=3.14* r^2* 2\\\\56.52=6.28* r^2\\\\(56.52)/(6.28)=r^2\\\\9=r^2\\\\√(9)=r\\\\3=r`

Hence, diameter is given by

`D=2* r=2* 3=6\ inches`