The base of a solid is the circle x^2 + y^2 = 9. cross sections of the solid perpendicular to the x-axis are equilateral triangles. what is the volume, in cubic units, of the solid?
36 times the square root of 3
36
18 times the square root of 3
18

Recall that the area of an equilateral triangle with side length is .

In the plane, the base is given by two equations:

so that for any given , the vertical distance between the two sides of the circle is

and this is the side of length of each triangular cross-section for each . Then the area of each cross-section is

and the volume of the solid is

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.