A toy ball in the shape of a sphere expands and contracts. When it is completely closed, it has a diameter of 12.5 inches. Find the volume of the sphere when it is completely closed. Use 3.14 for
π.
(Hint: the volume of a sphere of radius r is
4/3πr3.

The volume of the sphere is

Explanation:

Given that the diameter of the toy ball is 12.5 inches

We need to determine the volume of the toy ball.

The radius of the toy ball is given by

Thus, the radius of the toy ball is 6.25 in

The volume of the sphere can be determined using the formula,

Substituting the values, we get,

Multiplying, we get,

Substituting , we have,

Simplifying, we get,

Thus, the volume of the sphere is

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

a c

step-by-step explanation: