Volume of Cylinders - Item 20987 Question 1 of 7
You have a can that is in the shape of a cylinder. It has a volume of about 1,728 cubic centimeters. The height of the can is 22 centimeters. What is the approximate length of the radius? Use 3.14 for pi.

Respuesta :

Answer:

length of the radius is 5cm

Step-by-step explanation:

Use formula for Volume of a cylinder to calculate radius;

Volume of a cylinder = [tex]\pi r^{2} h[/tex]

[tex]\pi[/tex] = 3.14 (given)

Volume = 1,728[tex]cm^{3}[/tex]

h = 22cm

r ; radius = ?

Plug in the numbers into the formula;

1,728 = 3.14 *[tex]r^{2} *22[/tex]

1,728 = 69.08[tex]r^{2}[/tex]

Divide both sides by 69.08 ;

1,728 / 69.08 = [tex]r^{2}[/tex]

25.014476 = [tex]r^{2}[/tex]

Find square root of both sides to solve for r;

[tex]\sqrt{25.014476} =r[/tex]

r =5.0014

Therefore the approximate length of the radius is 5cm

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