a paper towel roll is shaped like a cylinder. it is 4cm wide and 28 cm tall. find its volume to the nearest tenth. use 3.14 for pi
Volume of a cylinder
=πr²h
where r=radius of the base, h=height.
Hint:
4 cm wide means that the diameter is 4cm, so the radius is half that, or 2cm.
You take 3.14 and multiply it by 4 and then multiply it by 28
35,068
To find the volume of a cylinder, we use the formula:
V = πr^2h
where V represents the volume, r represents the radius of the base, and h represents the height.
In this case, we are given that the cylinder has a width of 4 cm. Since the width is simply the diameter, we can find the radius by dividing the width by 2:
r = 4 cm / 2 = 2 cm
The height of the cylinder is given as 28 cm.
Now, we can substitute the values into the formula:
V = 3.14 * (2 cm)^2 * 28 cm
First, we square the radius: (2 cm)^2 = 4 cm^2
Next, we multiply the squared radius by the height: 4 cm^2 * 28 cm = 112 cm^3
Finally, we multiply the result by π:
V = 3.14 * 112 cm^3 ≈ 351.68 cm^3
So, the approximate volume of the paper towel roll is 351.68 cm^3 to the nearest tenth.