by how much will the surface area and volume of a sphere increase if radius is doubled?
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Notice that for any increase, x * l or x * r, in length or radius, the increase in surface area is x squared (x2) and the increase in volume is x cubed (x3). For example, when length is doubled (i.e., x = 2) surface area is quadrupled (22 = 4) not doubled, and volume is octupled (23 = 8) not tripled.
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Al-Idrisi is best known in the West as a geographer, who made a globe of silver sphere weighing 400 kilograms for King Roger II of Sicily. Some scholars regard him as the greatest geographer and cartographer of the Middle Ages. He also made original contributions in medicinal plants.
Profession: Geographer
Died: 1166 C.E.......
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