Mr. Delagado sees this sign while he is driving. For numbers 3a-3b, choose the values and term that correctly describes the shap
1 answer:
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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>
Consider the circle with center X, as shown in the figure.
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
units.
Answer: 8 units
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
Answer: 8 units