A sphere with radius R 0 200 m has density that decreases with distance r from the center of the sphere according to 3 00 10 3 kg m 3 (9 00 10 3 kg m 4 )r (a) Calculate the total mass of the sphere (b) Calculate the moment of inertia of the sphere for an axis along a diameter

Question: A sphere with radius R = 0.200 m has density that decreases with distance r from the center of the sphere according to =

A sphere with radius R = 0.200 m has density that decreases with distance r from the center of the sphere according to ρ = 3.00 × 10³ kg/m³ – (9.00 × 10³ kg/m⁴)r.

(a) Calculate the total mass of the sphere.

(b) Calculate the moment of inertia of the sphere for an axis along a diameter.

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