A soccer ball has a 35 cm diameter. what is the volume of the contents of the ?

volume of a circle = 961.6cm³

Step-by-step explanation:

given that the soccer ball has a diameter = 35cm

note,

diameter = 2 x radius

radius = diameter /2

radius = 35cm/2

radius = 17.5cm

volume = ?

recall that to calculate the volume of the content inside the soccer ball = πr²

since the soccer ball is circular in shape

volume of a circle = πr²

volume of a circle = 3.14 x (17.5)²

volume of a circle = 3.14 x 306.25

volume of a circle = 961.6cm³

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180