Question

The radius of a cylindrical construction pipe is 2ft . If the pipe is 17ft long, what is its volume?

Answer 1

V = 106.76ft

Explanation:

Cylinder Formulas in terms of r and h

• Calculate the volume of a cylinder:

V = πr2h

• Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

• Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

• Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Answer 2

To find the volume of a cylinder, you do Bh = V (Base * height = volume.)

The base of a cylinder is a circle, and we find the area of a circle by doing π
`r^(2)`. Pi has a constant value (~3.14) and the radios ('r') is given as 2 feet.

Now that we have our equation and values, just plug everything in:

π *
`2^(2)` * 17 = V

Solving it, we get:

π * 68 = V
68π = V
213.63 ≈ V

Hope I helped, and let me know if you have any questions :)