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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