a bottle of perfume is made up of triangular prism exterior with a cylinderal interior that holds the prefume. What is the volume of the cylinder? the demensions are length=4 in.; width=3 in.; height=5 in.; and diamater=2.6 in
First, let's calculate the volume of the cylinder inside the triangular prism:
Given:
Height (h) = 5 in
Diameter (d) = 2.6 in
First, we need to find the radius of the cylinder (r) using the formula:
r = d/2
r = 2.6/2
r = 1.3 in
Now, we can calculate the volume of the cylinder using the formula:
V = πr^2h
V = π(1.3)^2(5)
V = π(1.69)(5)
V = 8.45π in^3
Therefore, the volume of the cylinder inside the triangular prism is approximately 26.57 cubic inches.