Consider the following five relations on the set A = { 1, 2, 3, 4 } : R1 = { (1, 1), (1, 2), (2, 3), (1, 3), (4, 4) }
R2 = { (1, 1)(1, 2), (2, 1), (2, 2), (3, 3), (4, 4) }
R3 = { (1, 3), (2, 1) }
R4 = ∅ , the empty relation
R5 = A × A, the universal relation

Fill in the following table cells with “yes” or “no” if the relation R1-R5 has the said property.

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.

hope this !

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

it would rotate about 180 degrees.