In reference to the diagram below, Juan claims that the area of circle B is twice the area of circle A since it's radius is twic
e as big.
Circle A radius = 2
Circle B radius = 4
Explain why Juan is mistaken in his conclusion about the area of circle B. In writing your response, be sure to explain what happens to the radius when it is squared. Explain the steps in finding the area of a circle.
Circle A radius = 2
Circle B radius = 4
Explain why Juan is mistaken in his conclusion about the area of circle B. In writing your response, be sure to explain what happens to the radius when it is squared. Explain the steps in finding the area of a circle.
2 answers:
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Answer:
- Height = <u>9</u><u> </u>cm which means <u>Option </u><u>C </u>is the answer
Step-by-step explanation:
In the question we are given ,
- Volume of cylinder = <u>2</u><u>2</u><u>5</u><u>π</u><u> </u><u>cm³</u>
- Radius of cylinder = <u>5 cm</u>
And , we have to find the <u>height</u><u> of</u><u> </u><u>cylinder</u><u> </u>.
We know that ,
Our solution starts from here :
<u>Step </u><u>1</u><u> </u><u>:</u> Cancelling π with π :
<u>Step </u><u>2</u><u> </u><u>:</u> Substituting value of radius which is 5 cm in the formula :
<u>Step </u><u>3 </u><u>:</u> Transposing 25 to right hand side :
<u>Step </u><u>4</u><u> </u><u>:</u> Cancelling 225 by 25 :
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>height</u><u> </u><u>of </u><u>cylinder</u><u> is</u><u> </u><u>9</u><u> </u><u>cm</u>