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?

Answer 1

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.