Answer :

If there is orange with a volume of 113.1 cm3, the area of the cross-section when the orange is cut in half is approximately 34.9 sq cm.

If we assume that the orange is a sphere and has a volume of 113.1 cm3, we can use the formula for the volume of a sphere to find the radius of the orange. The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.

Substituting the given volume of 113.1 cm3 and solving for the radius r, we find that r = (3V / (4 * pi))^(1/3) = (3 * 113.1 / (4 * pi))^(1/3) approximately 3.3 cm.

Next, we can use the formula for the surface area of a sphere to find the area of the cross-section when the orange is cut in half. The formula for the surface area of a sphere is A = 4 * pi * r^2, where r is the radius of the sphere. Substituting the value of the radius that we calculated above, we find that the area of the cross-section is A = 4 * pi * (3.3 cm)^2 approximately 34.9 sq cm.

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