What is the volume of the item described?

a rocket in the shape of a cylinder with radius 6 m and height 16 m with a cone on top of radius 6 m and height 3 m.

select the exact answer in terms of π and the approximate answer rounded to the nearest whole number.

2149 m³

612 π m³

102 π m³

320 m³

1922 m³

684 π m³

612 π m³

1922 m³

The body of the rocket is a cylinder; to find its volume, we are going to use the formula for the volume of a cylinder:

where

is the radius of the cylinder

is the height

We know from our problem that the radius of the cylinder is 6 m and its height is 16 m, so let's replace the values:

The volume of the cylinder is

To find the volume of the cone, we are going to use the formula:

where

is the radius

is the height

We know form our problem that the radius of the cone is 6 m and its height is 3 m, so let't replace the values:

Now, we just need to add the volumes in terms of and the volumes rounded to the nearest whole:

Volume of the item in terms of π =

Volume of the item rounded =

612 and 1922

Step-by-step explanation:

i got a A trust me

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: