Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale.
a cylinder
(1 point)
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.