In the gym there is a round metal pole that is 8 inches in diameter. The gym teacher
wants to wrap the pole tightly with 1-inch thick rope from the ground up to a height of 6 feet.
(The rope will be wound over and over until it reaches a height of 6 feet.) About how much rope
with the gym teacher need? Explain your reasoning.

 much rope  with the gym teacher need .

Step-by-step explanation:

Here we have  , In the gym there is a round metal pole that is 8 inches in diameter. The gym teacher  wants to wrap the pole tightly with 1-inch thick rope from the ground up to a height of 6 feet.  (The rope will be wound over and over until it reaches a height of 6 feet.) We need to find  About how much rope  with the gym teacher need . Let's find out:

According to question , the rope is covered in lateral surface area of a cylinder i.e.  to wrap the pole tightly with 1-inch thick rope from the ground up to a height of 6 feet which will cover lateral surface area of cylinder . We know that Formula for lateral surface area is :

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From the question we have

Now , height of pole is 72 inches and we will wrap pole with 1 inch thick rope , So total number of turns of rope in pole :

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Now , Length of one turn of rope in pole is equivalent to circumference of circle with radius = 4 inches as:

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Since , length of one turn is 25.12 inch so ,length of total rope i.e. of 72 turns is :

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Therefore ,  much rope  with the gym teacher need .

4th option is correct xy=-10

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option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: