Answer:
1. 523 cm^3
2. 1.6 ft
Step-by-step explanation:
1. Formula for volume of a sphere is (4/3)(pi)(r^3)
r = 5
(4/3)(3.14)(5^3) ≈ 523
2. Formula for volume of a cone is (1/3)(pi)(r^2)(h)
(1/3)(3.14)(1^2)(2) ≈ 2.0933
Plug this into the formula for volume of a sphere and find r.
2.093 = (4/3)(3.14)(r^3)
r ≈ 0.7937
Multiply by 2 to get the diameter, which is the height of the spherical barrier.
r * 2 ≈ 1.6
