a cylinder is shown below. which diagram is a net for the cylinder?
a cylinder is shown below. which diagram is a net for the cylinder?
Answer
Explanation:
Step1: Recall cylinder net properties
A cylinder's net has two congruent circles (bases) and a rectangle. The length of the rectangle is the circumference of the base - circle, and the width is the height of the cylinder.
Step2: Calculate the circumference of the base - circle
The formula for the circumference of a circle is $C = 2\pi r$. Given $r = 5$ cm, then $C=2\pi\times5=10\pi$ cm. The height of the cylinder is $h = 8$ cm.
Step3: Analyze the nets
The net of the cylinder should have two circles with a radius of 5 cm and a rectangle with length $10\pi$ cm and width 8 cm. The correct net will have the two circles placed at the appropriate positions relative to the rectangle. The first net shown has two circles of radius 5 cm and a rectangle with length $10\pi$ cm and width 8 cm, and the circles are placed such that they can form the bases of the cylinder when folded.
Answer:
The first net (the one with two circles of radius 5 cm and a rectangle of length $10\pi$ cm and width 8 cm where the circles are positioned correctly for folding into a cylinder)