Question

An orange has a volume of about 113.1 cm3. What is the area of the cross section when it is cut in half? Round to the nearest tenth.

Answer 1

r = 1.0 cm to the nearest tenth

Explanation:

The formula for the area of a circle of radius r is A = (pi)r². So, from the given information we need to determine the radius of the orange. The volume formula is V = (4/3)(pi)r³ and in this case V = 113.1cm³. Thuis,

(4/3)(pi)r³ = 113.1cm³

3 3(113.1 cm³)

Multiplying both sides by ------------ , we get r³ = --------------------- , and so

4(pi) 12.57

r³ = 339.3 cm³ / 12.57 ≈ 0.997, so that r ≈ ∛(0.997 cm³) ≈ 0.9999, or

r = 1.0 cm to the nearest tenth.