A bottle of perfume is made up of a triangular prism exterior with a cylindrical interior that holds the perfume. What is the volume of the cylinder? The dimensions are length=4 in.; width=3 in.; height=5 in.; and diameter=2.6 in.(1 point)
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The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height.
Given that the diameter of the cylinder is 2.6 in, the radius (r) is half of the diameter, so r = 2.6 / 2 = 1.3 in.
The height (h) of the cylinder is 5 in.
Therefore, the volume of the cylinder is:
V = π(1.3)^2(5) = π(1.69)(5) ≈ 26.694 in^3
So, the volume of the cylinder is approximately 26.694 cubic inches.