A bottle of perfume is made up of a triangular prism exterior with a c y l i n d r i c a l interior that holds the perfume what is the volume of the cylinder t h e d i m e n s i o n s or link = 4 in what equals 3 in height equals 5 in diameter equals 2.6 in
First, let's find the volume of the cylinder using the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the base of the cylinder and h is the height of the cylinder.
Given that the diameter of the base is 2.6 inches, the radius (r) is half the diameter, so r = 2.6 / 2 = 1.3 inches.
Plugging in the values of r = 1.3 in and h = 5 in into the formula for the volume of a cylinder, we get:
V = π(1.3)^2 * 5
V = π(1.69) * 5
V = 8.45π
Now, let's calculate the volume of the cylinder:
V ≈ 8.45 * 3.14159 (approximately)
V ≈ 26.57 cubic inches
Therefore, the volume of the cylindrical interior of the perfume bottle is approximately 26.57 cubic inches.