51. Jonathan is selling vintage albums to a rare music
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The radius of the cylinder's base is 8, so the volume of the cylinder is 
(using the approximation of 
).
The sphere has radius 6, so the volume of the sphere is
.
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
The sphere has radius 6, so the volume of the sphere is
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:
The area of the triangle is given by the following formula:
Where "b" is the base and "h" is its height. Replacing the values:
The total area is the sum of both areas:
replacing the areas: