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

1 answer

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.