The surface area of a cylinder is the sum of the areas of its curved surface and its two circular bases. To find the surface area of a cylinder with a radius of 8 cm and a height of 28 cm, we can use the formula:
Surface area = 2πrh + 2πr^2
where r is the radius of the cylinder and h is its height.
Plugging in the given values, we get:
Surface area = 2π(8)(28) + 2π(8)^2
Surface area = 448π + 128π
Surface area = 576π
So the surface area of the cylinder is 576π square centimeters. If we want a numerical approximation, we can use the value of π ≈ 3.14159 to get:
Surface area ≈ 576 x 3.14159
Surface area ≈ 1809.56 square centimeters
Therefore, the surface area of the cylinder is approximately 1809.56 square centimeters.
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Answer & Step-by-step explanation:
The surface area of a cylinder is the sum of the areas of its curved surface and its two circular bases. To find the surface area of a cylinder with a radius of 8 cm and a height of 28 cm, we can use the formula:
Surface area = 2πrh + 2πr^2
where r is the radius of the cylinder and h is its height.
Plugging in the given values, we get:
Surface area = 2π(8)(28) + 2π(8)^2
Surface area = 448π + 128π
Surface area = 576π
So the surface area of the cylinder is 576π square centimeters. If we want a numerical approximation, we can use the value of π ≈ 3.14159 to get:
Surface area ≈ 576 x 3.14159
Surface area ≈ 1809.56 square centimeters
Therefore, the surface area of the cylinder is approximately 1809.56 square centimeters.