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If the diameter of sphere decreases by the 20% then what does the percent decrease by its curved surface area?
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If the diameter of sphere decreases by the 20% then what does the perc...
Let d1 = x and d2 will be = x- x. 20/100.....Now r1 = x/2.and r2 will be 4x/10 (bcoz x- x. 20/100 = 4 x/5.2)S. A. Of a sphere = 4pie r2S. A. Of old sphere which is of r1 = 4 pie( r1) ^2 and second sphere = 4pie(r2) ^2Percentage will be = 4pie( x/2 -4x/5)^2.100/4pie (x/2) ^2By solving this equation the ans will be =2%That's all.... Then wht is correct one.....???
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If the diameter of sphere decreases by the 20% then what does the perc...
Diameter of the sphere decreases by 20%
When the diameter of a sphere decreases by 20%, we need to determine the corresponding change in its curved surface area. To solve this problem, we will follow a step-by-step approach.
Step 1: Understand the relationship between diameter and curved surface area
The curved surface area of a sphere is directly proportional to the square of its diameter. Mathematically, we can represent this relationship as:
Curved Surface Area ∝ (Diameter)^2
Step 2: Find the percent decrease in the diameter
To determine the percent decrease in the diameter, we can use the following formula:
Percent decrease = (Original value - New value) / Original value * 100
In this case, the original value is 100% (the full diameter), and the new value is 80% (the decreased diameter).
Percent decrease = (100% - 80%) / 100% * 100 = 20%
Step 3: Calculate the percent decrease in the curved surface area
Since the curved surface area is proportional to the square of the diameter, we can apply the percent decrease to the square of the diameter to find the percent decrease in the curved surface area.
Percent decrease in curved surface area = (Percent decrease in diameter)^2
Percent decrease in curved surface area = (20%)^2 = 4%
Step 4: Interpretation of the result
The percent decrease in the curved surface area of the sphere is 4%. This means that after the diameter decreases by 20%, the curved surface area decreases by 4%.
Conclusion
If the diameter of a sphere decreases by 20%, the curved surface area of the sphere decreases by 4%. This relationship is determined by the fact that the curved surface area is directly proportional to the square of the diameter.
When the diameter of a sphere decreases by 20%, we need to determine the corresponding change in its curved surface area. To solve this problem, we will follow a step-by-step approach.
Step 1: Understand the relationship between diameter and curved surface area
The curved surface area of a sphere is directly proportional to the square of its diameter. Mathematically, we can represent this relationship as:
Curved Surface Area ∝ (Diameter)^2
Step 2: Find the percent decrease in the diameter
To determine the percent decrease in the diameter, we can use the following formula:
Percent decrease = (Original value - New value) / Original value * 100
In this case, the original value is 100% (the full diameter), and the new value is 80% (the decreased diameter).
Percent decrease = (100% - 80%) / 100% * 100 = 20%
Step 3: Calculate the percent decrease in the curved surface area
Since the curved surface area is proportional to the square of the diameter, we can apply the percent decrease to the square of the diameter to find the percent decrease in the curved surface area.
Percent decrease in curved surface area = (Percent decrease in diameter)^2
Percent decrease in curved surface area = (20%)^2 = 4%
Step 4: Interpretation of the result
The percent decrease in the curved surface area of the sphere is 4%. This means that after the diameter decreases by 20%, the curved surface area decreases by 4%.
Conclusion
If the diameter of a sphere decreases by 20%, the curved surface area of the sphere decreases by 4%. This relationship is determined by the fact that the curved surface area is directly proportional to the square of the diameter.
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If the diameter of sphere decreases by the 20% then what does the percent decrease by its curved surface area?
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If the diameter of sphere decreases by the 20% then what does the percent decrease by its curved surface area? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If the diameter of sphere decreases by the 20% then what does the percent decrease by its curved surface area? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the diameter of sphere decreases by the 20% then what does the percent decrease by its curved surface area?.
If the diameter of sphere decreases by the 20% then what does the percent decrease by its curved surface area? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If the diameter of sphere decreases by the 20% then what does the percent decrease by its curved surface area? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the diameter of sphere decreases by the 20% then what does the percent decrease by its curved surface area?.
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