To find the surface area of a cylinder, you need to calculate the areas of the two circular bases and the lateral surface area.
Given that the formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height, and the formula for the area of a circle is πr^2, we can calculate the surface area of the cylinder as follows:
Given radius, r = 4 units
Height, h = 10 units
Area of the two circular bases = 2π(4)^2 = 32π square units
Lateral surface area = 2π(4)(10) = 80π square units
Total surface area = 32π + 80π = 112π square units
To find the surface area to the nearest whole number, we calculate the approximation of π as 3.14:
Surface area ≈ 112 x 3.14
Surface area ≈ 351.68 square units
Therefore, the surface area of the cylinder to the nearest whole number is 352 square units.
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale.
a cylinder
(1 point)
1 answer