Question

Directions: Select all the correct answers.Julie has a cylinder containing sugar. The cylinder has a volume of 288π cubic centimeters. Which of the following could be the dimensions of Julie's sugar container?
radius: 3 centimeters

height: 32 centimeters


radius: 4 centimeters

height: 12 centimeters


diameter: 16 centimeters

height: 9 centimeters


radius: 4 centimeters

height: 18 centimeters


radius: 12 centimeters

height: 8 centimeters


diameter: 12 centimeters

height: 8 centimeters

Answer 1

The volume of a cylinder is =

V = π.R^(2).h

Let's to the first example:

R = 3cm
h = 32cm

Then,

1:

V = π.(3)^2.(32)

V = 288π.cm^3

This is correct.


Let's to the second example:

2:

R = 4cm
h = 12cm

Then,

V = π . (4)^2 . 12

V = 192 π cm^3

It is false.
___________

Let's to the 3 example:

R = Diameter / 2

R = 16 / 2

R = 8cm

And, h = 9cm

Then,

V = π . (8)^2 . 9

V = 576π cm^3

It is false
_____________

Let's to the 4 example:

R = 4cm
h = 18cm

Then,

V = π . (4)^2 . 18

V = 288π cm^3

This is correct
________________

Let's to the 5 and last example:

R = Diameter / 2

R = 12 / 2

R = 6 cm

h = 8cm

Then,

V = π . (6)^2 . 8

V = 288π

That's right too.

Then, The answers corrects to the your question are:

Example: 1 , 4 and 5