Part a final lateral surface area of the cylinder with the radius of 2.5 m in a height of 7 m B what is the total surface of the cylinder from a radius is 2.5 m and highest seven
To find the lateral surface area of a cylinder, you need to calculate the circumference of the base (which is a circle) and multiply it by the height of the cylinder.
Circumference of the base (C) = 2πr, where r is the radius of the cylinder
Height of the cylinder (h) = 7 m
Lateral Surface Area (LSA) = C * h
C = 2π(2.5) = 5π
LSA = 5π * 7 = 35π square meters
To find the total surface area of the cylinder, you need to add the area of the two circular bases to the lateral surface area.
Area of a circle = πr²
Area of one circular base = π(2.5)² = 6.25π
Total Surface Area (TSA) = LSA + 2 * Area of one circular base
TSA = 35π + 2(6.25π) = 35π + 12.5π = 47.5π square meters