Find the surface area of the cylinder below. Use the approximation 3.14 height is 15cm radius is 5cm
To find the surface area of a cylinder, we need to calculate the lateral area and the area of the two bases and then add them together.
The formula for the lateral area of a cylinder is given by 2πrh, where r is the radius of the base and h is the height.
The formula for the area of the base of a cylinder is given by πr^2.
Given:
Height (h) = 15 cm
Radius (r) = 5 cm
Approximation of π (pi) = 3.14
First, let's calculate the lateral area:
Lateral area = 2πrh = 2 * 3.14 * 5 cm * 15 cm = 471 cm^2 (rounded to nearest whole number)
Next, let's calculate the area of the two bases:
Base area = 2πr^2 = 2 * 3.14 * (5 cm)^2 = 157 cm^2 (rounded to nearest whole number)
Finally, add the lateral area and the area of the bases together:
Surface area = Lateral area + Base area = 471 cm^2 + 157 cm^2 = 628 cm^2 (rounded to nearest whole number)
Therefore, the surface area of the cylinder is approximately 628 cm^2.
are you sure
Apologies for the mistake in the previous response. Let's recalculate the surface area of the given cylinder.
Lateral area = 2πrh = 2 * 3.14 * 5 cm * 15 cm = 471 cm² (rounded to the nearest whole number)
For the bases, the formula for the area is given by πr².
Base area = πr² = 3.14 * (5 cm)² = 78.5 cm² (rounded to one decimal place)
Now, add the lateral area and the base area together to find the total surface area:
Surface area = Lateral area + 2 * Base area = 471 cm² + 2 * 78.5 cm² = 628 cm² (rounded to the nearest whole number)
Therefore, the surface area of the given cylinder is approximately 628 cm².