To find the height of the cone, we first need to figure out the volume of a cone formula, which is V = (1/3)πr^2h, where r is the radius and h is the height of the cone.
Given that the volume of the anthill is 8792 mm^3 and the radius is 20 mm, we can plug these values into the formula and solve for h:
8792 = (1/3)(3.14)(20^2)h
8792 = (1/3)(3.14)(400)h
8792 = 418.67h
h = 8792 / 418.67
h ≈ 21 mm
Therefore, the height of the cone is approximately 21 mm.
An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. What is the height of the cone? Explain how you found the height. Use 3.14 for π and round your answer to the nearest millimeter if necessary.
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