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.
To find the volume of the cylinder inside the triangular prism, we first need to find the radius of the cylinder using the given diameter.
Diameter = 2.6 in
Radius = Diameter / 2 = 2.6 / 2 = 1.3 in
Now, we can calculate the volume of the cylinder using the formula:
Volume = π * r^2 * h
where:
r = radius = 1.3 in
h = height = 5 in
Volume = π * (1.3)^2 * 5
Volume ≈ 27.07 cubic inches
Therefore, the volume of the cylinder inside the triangular prism is approximately 27.07 cubic inches.