Answer:
9.4 meters
Explanation:
We can use the formula for the volume of a cone:
V = (1/3) * pi * r^2 *h
where V is the volume, r is the radius of the base, and h is the height.
We know the volume and height of the cone, so we can solve for the radius:
240 = (1/3) * pi * r^2 * 5
r^2 = 240 / (pi * 5/3)
r^2 = 45.68
r = sqrt(45.68)
r = 6.76 meters (rounded to two decimal places)
Now we can use the Pythagorean theorem to find the slant height:
x^2 = r^2 + h^2
x^2 = 6.76^2 + 5^2
x^2 = 88.5276
x = sqrt(88.5276)
x = 9.4 meters