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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.

Respuesta :

Answer:

r = 1.0 cm to the nearest tenth

Step-by-step 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.