how would you get 26.55 from this question? a bottle of perfume is made up of 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 cylindrical interior of the bottle (which holds the perfume), we need to use the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
The radius of the cylindrical interior is half of the diameter, so the radius is 2.6/2 = 1.3 inches.
We can substitute the values into the formula:
V = π(1.3)^2(5)
V = π(1.69)(5)
V = π(8.45)
V = 26.55 cubic inches
Therefore, the volume of the cylindrical interior (which holds the perfume) is 26.55 cubic inches.