Question

The diameter of a cylindrical construction pipe is 3ft. If the pipe is 17ft long, what is its volume?

Use the value 3.14 for /pi, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answer 1

Answer:
`\boxed{120 \ cubic \ feet}`

`\bold{Work \ Shown:}`

`d = 3 = diameter`

`r = d/2 = 3/2 = 1.5 = radius`

`h = 17 = height \ or\ length \ of \ the\ pipe`

`\pi = 3.14\ approximately`

`V = volume \ of \ the \ cylinder \ pipe`

`V = \pi * r^2 * h`

`V = 3.14 * (1.5)^2* 17`

`V = 120.105`

`V=120`

The cylindrical pipe's volume is about 120 cubic feet.

Answer 2

First, we need to find the radius of the pipe by dividing the diameter by 2:

radius = 3ft / 2 = 1.5ft

Next, we can use the formula for the volume of a cylinder:

V = πr²h

where V is volume, π (pi) is approximately 3.14, r is the radius, and h is the height (or length) of the cylinder.

Plugging in the values we have:

V = 3.14 x (1.5ft)² x 17ft

V = 3.14 x 2.25ft² x 17ft

V = 3.14 x 38.25ft³

V ≈ 120ft³

Rounding to the nearest whole number and including the unit:

The volume of the pipe is about 120 cubic feet.