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)
To find the volume of the cylinder, we can use the formula:
Volume = π * (radius)^2 * height
First, we need to find the radius of the cylinder, which is half of the diameter:
radius = 2.6 in. / 2 = 1.3 in.
Now we can plug in the values into the formula:
Volume = π * (1.3 in.)^2 * 5 in.
Volume = π * 1.69 in.^2 * 5 in.
Volume = π * 8.45 in.^3
Volume ≈ 26.57 in.^3
Therefore, the volume of the cylinder that holds the perfume is approximately 26.57 cubic inches.