Acylindrical metal pipe has a diameter of 20 millimeters and a height of 21 millimeters. a cylindrical hole cut out of the center has a radius of 6 millimeters. which expressions represent the volume of metal needed, in cubic millimeters, to make the pipe? check all that apply. 21π(10)2 – 21π(6)2 π(20)2(21) – π(6)2 2,100π – 756π 7,644π
1,344

Options A and C are correct choices.

Step-by-step explanation:

We have been given that a cylindrical metal pipe has a diameter of 20 millimeters and a height of 21 millimeters. A cylindrical hole cut out of the center has a radius of 6 millimeters.

We will use volume of cylinder formula to solve our given problem.

, where,

r = Radius of cylinder,

h = height of cylinder.  

The volume of the cylinder will be equal to volume of cylinder with radius of 10 mm (20/2) minus volume of cylinder with radius of 6 mm.

Therefore, option A is the correct choice.

Therefore, option C is the correct choice as well.

1 3 5

step-by-step explanation:

i took the test: )

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.