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

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step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .