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)
in.3
The volume of the cylinder is given by the formula V = πr^2h, where r is the radius of the cylinder and h is the height.
Given that the diameter of the cylinder is 2.6 inches, the radius is half of the diameter, so r = 2.6/2 = 1.3 inches.
Substitute the values into the formula: V = π(1.3)^2(5) = π(1.69)(5) ≈ 26.7 in^3
Therefore, the volume of the cylinder is approximately 26.7 in^3.