An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. Its height is 21 mm. How can you solve for the slant height, s? Use 3.14 for π and round your answer to the nearest millimeter if necessary.

Answer 1

To find the slant height (s) of the anthill, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (s) is equal to the sum of the squares of the other two sides (radius and height).

In this case, the radius (r) is 20 mm and the height (h) is 21 mm.

Using the Pythagorean theorem:

s^2 = r^2 + h^2
s^2 = 20^2 + 21^2
s^2 = 400 + 441
s^2 = 841
s = √841
s = 29

Therefore, the slant height of the anthill is 29 mm.