Two solids spheres have surface areas of 5 cm^2 and 45 cm^2 respectively and the mass of the smaller sphere is 2 kg. Find the mass of the larger sphere.
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Originally Answered: Two solid suphers have surface area 5 cm and 45 cm square if mass of smaller suphers is 2 kg what is the mass of other one?
The formula for surface area of a sphere is =42 , so the area is a function of the radius squared.
The surface area of the large sphere is 455= 9 times larger than the small sphere, therefore the radius of the large sphere is 9‾√= 3 times larger than the small sphere.
The formula for the volume of a sphere is =433
If the radius is 3 times larger, then the volume is 33= 27 times larger, so the mass of the larger sphere is 27(2 kg) = 54 kg.
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