Respuesta :

Answer:

16π=r^2

or

150.24=r^2

Step-by-step explanation:

Formula of a cylinder: V=πr^2h

176π=πr^2(11) Divide 176 by 11.

16π=r^2

The radius of the cylindrical packing tube with the given value of volume and altitude is 40 meters.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi

Given the data in the question;

  • Volume of the packing tube V = 176πm³
  • Height or altitude h = 11cm = 0.11m
  • Radius r = ?

We substitute our given values into the expression above.

V = π × r² × h

176πm³ = π × r² × 0.11m

r² = 176πm³ / 0.11πm

r² = 1600m²

r = √(1600m²)

r = 40m

Therefore, the radius of the cylindrical packing tube with the given value of volume and altitude is 40 meters.

Learn more on volume of cylinder here: brainly.com/question/16788902

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