A class consists of 12 students (six boys and six girls) and one teacher. In how many ways can the students sit in a circle?

39,916,800ways

Step-by-step explanation:

This arrangement is permutation. Since it is a circular arrangement, the formula for calculating arrangement of objects sitting in a circular path is (n-1)! where n is the number of objects. Applying this formula in the question, the 12 students will sit in a circle in (12-1)! ways.

(12-1)! = 11!

= 11×10×9×8×7×6×5×4×3×2×1

= 39,916,800ways

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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