To find the volume of the cylinder with the given dimensions, we use the formula for the volume of a cylinder:
Volume (V) = π * r^2 * h
where:
r is the radius of the cylinder
h is the height of the cylinder
π is approximately 3.14159
Given:
r = 5a
h = 8a + 5
Now, substitute these values into the volume formula:
V = π * (5a)^2 * (8a + 5)
Simplify:
V = π * 25a^2 * (8a + 5)
V = 25πa^2 * (8a + 5)
The volume of the cylinder is 25πa^2 * (8a + 5) cubic units.