Question
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)
Answers
Answer
wrong
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
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