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Surface Areas and Volumes of Cubes and Spheres

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1. A sphere of radius 1 is totally submerged in a cylindrical tank of radius 4 as shown. The water level in the tank rises a distance of h. What is the value of h?
2. A cube has a surface area of 6x. What is the volume?
3. A sphere has a radius of r. If this radius is increased by b, then the sphere's surface area is increased by what amount?

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Solution Summary

Surface areas and volumes of cubes and spheres are investigated and discussed. The solution is detailed and well presented.

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