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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

-2

Step-by-step explanation: