What is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters? Round the answer to the nearest square meter

Answer 1

The formula for the surface area of a cone is πr(l+r), where r is the radius of the base and l is the slant height.

Given that the diameter is 18 meters, the radius (r) is half of that, so r = 9 meters.

To find the slant height (l), we can use the Pythagorean theorem:
l^2 = r^2 + h^2
l^2 = 9^2 + 54^2
l^2 = 81 + 2916
l^2 = 2997
l ≈ 54.73 meters

Now we can plug in the values into the surface area formula:
Surface area = π(9)(54.73 + 9)
Surface area ≈ π(9)(63.73)
Surface area ≈ 1787.6 square meters

Rounded to the nearest square meter, the surface area of the conical grain storage tank is approximately 1788 square meters.

Answer 2

the answer is actually 1,802m^2