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. (1 point)

Answer 1

The formula for the surface area of a cone is:

Surface Area = πr(l + r)

where r is the radius of the base of the cone and l is the slant height.

First, we need to find the radius of the base of the cone, which is half of the diameter: r = 18/2 = 9 meters.

Next, we need to find the slant height using the Pythagorean theorem:
l = sqrt(h^2 + r^2) = sqrt(54^2 + 9^2) = sqrt(2916 + 81) = sqrt(2997) ≈ 54.7 meters.

Now we can plug in the values and calculate the surface area:
Surface Area = π * 9 * (54.7 + 9) ≈ π * 9 * 63.7 ≈ 1788 square meters.

Therefore, the surface area of the conical grain storage tank is approximately 1788 square meters.

Answer 2

it's actually 1,802m^2