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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