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30 October, 15:13

The diameter of a large sphere is 4 times the diameter of a small sphere. The surface area of the large sphere is how many times the surface area of small sphere?

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  1. 30 October, 18:58
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    Surface Area of a Sphere = 4π (d/2) ²

    Let the smaller sphere's diameter be just a sample of 4 units in diameter and let the large spheres diameter be 4 times that of the smaller sphere.

    Small Sphere: 4π (4/2) ² = 16π units²

    Large Sphere: 4π (16/2) ² = 256π units²

    256π / 16π = 16 times

    The large sphere has a surface area 16 times that of the smaller one.
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