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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To find the volume of the cylinder, we first need to find the radius of the base of the cylinder, which is half of the diameter:
Radius = 2.6 in. / 2 = 1.3 in.
Next, we use the formula for the volume of a cylinder:
V = πr^2h
V = π(1.3)^2(5)
V ≈ 33.697 cubic inches
So, the volume of the cylindrical interior that holds the perfume is approximately 33.697 cubic inches.
I apologize for the mistake. Let's try calculating the volume again:
Given:
Diameter = 2.6 in.
Radius = 2.6 in. / 2 = 1.3 in.
Height of the cylinder (which is the same as the height of the triangular prism) = 5 in.
Using the formula for the volume of a cylinder:
V = πr^2h
V = π(1.3)^2(5)
V = π(1.69)(5)
V ≈ 26.47 cubic inches
Therefore, the volume of the cylindrical interior that holds the perfume is approximately 26.47 cubic inches.