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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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.
The best solution will be marked as brainliest!!!
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Answer: 54 kg
Step-by-step explanation:
The formula for surface area of a sphere is A=4πR^2 , so the area is a function of the radius squared.
The surface area of the large sphere is 45/5 = 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 V=4/3(πR^3)
If the radius is 3 times larger, then the volume is 3^3 = 27 times larger, so the mass of the larger sphere is 27(2 kg) = 54 kg.
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