Question

a cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.
what is the approximate volume of the tube? round to the nearest whole cubic centimeter.
1,005 cm³
1,340 cm³
3,351 cm³
4,021 cm³

Explanation:

Step1: Find the radius

The diameter is 8 cm, so the radius \( r=\frac{8}{2} = 4\) cm.

Step2: Use the cylinder volume formula

The formula for the volume of a cylinder is \( V=\pi r^{2}h\), where \( h = 20\) cm. Substitute \( r = 4\) and \( h=20\) into the formula: \( V=\pi\times4^{2}\times20\).

Step3: Calculate the volume

First, calculate \( 4^{2}=16\), then \( 16\times20 = 320\), so \( V=\pi\times320\approx3.1416\times320 = 1005.31\) (rounded to two decimal places). Rounding to the nearest whole number gives 1005.

Answer:

1,005 cm³