What is the surface area of the cylinder in terms of π.
Radius: 6 in.
Height: 24 in.
The formula for the surface area of a cylinder is:
S.A. = 2πr² + 2πrh
where r is the radius of the base, h is the height of the cylinder.
Plugging in the given values, we get:
S.A. = 2π(6²) + 2π(6)(24)
S.A. = 72π + 288π
S.A. = 360π
Therefore, the surface area of the cylinder is 360π square inches.
To calculate the surface area of a cylinder in terms of π, you can use the formula:
Surface area = 2πr(r + h)
where r is the radius of the cylinder and h is the height.
Given:
Radius (r) = 6 inches
Height (h) = 24 inches
Substituting these values into the formula:
Surface area = 2π(6)(6 + 24)
Simplifying:
Surface area = 2π(6)(30)
Surface area = 2π(180)
Surface area = 360π square inches
Therefore, the surface area of the cylinder in terms of π is 360π square inches.