Question

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.

Answer 1

length of the radius is 5cm

Explanation:

Use formula for Volume of a cylinder to calculate radius;

Volume of a cylinder =
`\pi r^(2) h`

`\pi` = 3.14 (given)

Volume = 1,728
`cm^(3)`

h = 22cm

r ; radius = ?

Plug in the numbers into the formula;

1,728 = 3.14 *
`r^(2) *22`

1,728 = 69.08
`r^(2)`

Divide both sides by 69.08 ;

1,728 / 69.08 =
`r^(2)`

25.014476 =
`r^(2)`

Find square root of both sides to solve for r;

`√(25.014476) =r`

r =5.0014

Therefore the approximate length of the radius is 5cm