Two spheres of the same density have a ratio of 9 to 16 in surface area. if the small sphere weighs 15 kg, what does the large sphere weigh?
Two spheres of the same density have a ratio of 9 to 16 in surface area. if the small sphere weighs 15 kg, what does the large sphere weigh?
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step-by-step explanation:
Surface area of a sphere = 4 pi r^2
radius of small sphere = sqrt (9/4pi) = 0.8463
radius of larger one = sqrt (16/4pi) = 1.1284
ratio of the weights is 1.1284^3 : 0.8463^3 = 2.37
large sphere weighs 15 * 2.37 = 35.55 kg
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