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Mathematics, 26.06.2020 16:01 Tori122367

For our physical spherical fountain, we will take our original sphere diagram and create slabs. • Starting at the x-axis, create stacks of slabs along the height of the hemisphere until you reach the top. Use your graph to make sure the height of each slab slice is the same. Your sphere will now look something like this: • Notice that the slabs created will be short cylinders of varying radii but of equal heights. Use the graph to estimate the radius of each slab. Work Space: Show all work and calculations. Using the volume formula for a cylinder of πR2 • h, calculate the volume of each cylindrical slab and add the volumes together. Now double this value to find the total volume of the actual spherical fountain. Make sure to show all your slab calculations and final volume.

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