Each cylinder bore of a cylinder engine has a diameter of 2.50in. and a height of 4.90 what is the combined total surface area of all four cylinder?
The surface area of each cylinder is
πdh = π*2.5*4.9 = 38.48 in^2
To find the combined total surface area of all four cylinders, we first need to calculate the individual surface area of one cylinder and then multiply it by four.
The surface area of a cylinder can be calculated using the formula: 2πrh + 2πr², where r is the radius of the base and h is the height of the cylinder.
Since we are given the diameter (2.50 inches), we can find the radius by dividing it by 2: 2.50in / 2 = 1.25in.
Now we can calculate the surface area of one cylinder:
Surface area = 2π(1.25in)(4.90in) + 2π(1.25in)²
Simplifying the equation:
Surface area = 2π(1.25in)(4.90in) + 2π(1.25in)²
Surface area = 9.8πin² + 2.5πin²
Surface area = 12.3πin²
Finally, to find the combined total surface area of all four cylinders, we multiply the surface area of one cylinder by 4:
Combined surface area = 12.3πin² * 4
Calculating the combined surface area:
Combined surface area ≈ 48.9πin²
So, the combined total surface area of all four cylinders is approximately 48.9πin² (or 153.92 square inches if calculating the numerical value).
Note: π (pi) is approximately equal to 3.14159.