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Step-by-step Answer
PAGE: 732SET: ExercisesPROBLEM: 2
Please look in your text book for this problem Statement

The diameter of the base, the diagonal, and the lateral

edge of the cylinder form a right triangle. Use the

Pythagorean Theorem to find the height.

                             (Pythagorean theorem)

                (Substitute )

                     (Evaluate powers)

     (Subtract 64 from each side)

                     (Simplify)

                             (Subtract: )

                                    (Take the square root of each side)

Given that diameter of a cylinder(d) = 8 inches.

                                     (Substitute )

                                (Divide each side by 2)

                                     (Cancel common terms)

                                       (Divide: )

Volume(V):

                                (Volume of a cylinder)

                      (Substitute )

                     (Evaluate powers)

                              (Multiply: )

                      (Substitute )

                              (Multiply: )

The volume is approximately 753.6 cubic inches.



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