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
To find the volume of the cylinder, we first need to calculate the radius of the cylinder using the diameter given. The radius (r) is half of the diameter, so:
r = 2.6 in. / 2 = 1.3 in.
Now, we can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height:
V = π(1.3 in.)^2(5 in.)
V = π(1.69 in.^2)(5 in.)
V = π(8.45 in.^3)
V ≈ 26.56 in.^3
Therefore, the volume of the cylindrical interior of the perfume bottle is approximately 26.56 cubic inches.