The cylindrical piece of woos has a diameter of 14m and a length of 10m made grade 8 pupils during artwork. The pupils spilt the wood into half as shown below. What was total surface area of the wood made?
The total surface area of the original cylindrical piece of wood can be calculated using the formula:
Surface Area = 2 * π * r * h + 2 * π * r^2
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the diameter of the wood is 14m, the radius (r) is half of that, so r = 7m. The height (h) is 10m.
Plugging the values into the formula we get:
Surface Area = 2 * π * 7 * 10 + 2 * π * 7^2
Surface Area = 140π + 98π
Surface Area = 238π ≈ 748.14 m^2
Therefore, the total surface area of the original cylindrical piece of wood is approximately 748.14 square meters.