Geometry

What is the surface area of a conical grain storage tank that has a high of 62 meters and a diameter of 24 meters? Round the answer to the nearest square meter.
A)2,381m^2
B)2,790m^2
C)2,833m^2***
D)6,571m^2

My answer is C but I think I'm wrong. I lucked up examples of how to solve this and I think they was wrong because I got A=895.68pi=2,812
Can someone please explain how to properly solve this. Because I have a feeling I'm wrong.

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  1. the slant part of the cone (lateral area) is a sector of a circle

    the radius of the circle is the slant height of the cone
    ... Hs^2 = 62^2 + 12^2

    the partial-circumference of the sector is the circumference of the base of the cone ... 24 π

    LA = π * Hs * 12 = 2381

    base area = π (24/2)^2

    the total surface area is C)

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