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Given below are two quantities named Quantity I and Quantity II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers.
Quantity I: Volume, if diameter of sphere is 42 cm.
Quantity II: Volume, if side of cube is 34 cm.
Quantity I: Volume, if diameter of sphere is 42 cm.
Quantity II: Volume, if side of cube is 34 cm.
- a)Quantity I > Quantity II
- b)Quantity I < Quantity II
- c)Quantity I ≥ Quantity II
- d)Quantity I ≤ Quantity II
- e)Quantity I = Quantity II or No relation
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Given below are two quantities named Quantity I and Quantity II. Based...
Quantity I.
Diameter of sphere = 42 cm
∴ Ratio of sphere = 21 cm
∴ Volume of sphere =
Quantity II.
Side of cube = 34 cm
∴ Volume of cube = 343 = 39304 cm3
∴ Quantity II > Quantity I
Diameter of sphere = 42 cm
∴ Ratio of sphere = 21 cm
∴ Volume of sphere =
Quantity II.
Side of cube = 34 cm
∴ Volume of cube = 343 = 39304 cm3
∴ Quantity II > Quantity I
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Given below are two quantities named Quantity I and Quantity II. Based...
Quantity I: Volume, if diameter of sphere is 42 cm.
Quantity II: Volume, if side of cube is 34 cm.
To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere. The diameter of the sphere is given as 42 cm, so the radius would be half of that, which is 21 cm.
Using the formula for the volume of a sphere, we can calculate Quantity I as:
Quantity I = (4/3)π(21)^3
To find the volume of a cube, we use the formula V = s^3, where s is the length of the side of the cube. The side of the cube is given as 34 cm.
Using the formula for the volume of a cube, we can calculate Quantity II as:
Quantity II = 34^3
Now we can compare Quantity I and Quantity II:
Quantity I = (4/3)π(21)^3
Quantity II = 34^3
Since the values of Quantity I and Quantity II are not given, we cannot determine the exact relation between them. We would need the numerical values of Quantity I and Quantity II to make a comparison.
Quantity II: Volume, if side of cube is 34 cm.
To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere. The diameter of the sphere is given as 42 cm, so the radius would be half of that, which is 21 cm.
Using the formula for the volume of a sphere, we can calculate Quantity I as:
Quantity I = (4/3)π(21)^3
To find the volume of a cube, we use the formula V = s^3, where s is the length of the side of the cube. The side of the cube is given as 34 cm.
Using the formula for the volume of a cube, we can calculate Quantity II as:
Quantity II = 34^3
Now we can compare Quantity I and Quantity II:
Quantity I = (4/3)π(21)^3
Quantity II = 34^3
Since the values of Quantity I and Quantity II are not given, we cannot determine the exact relation between them. We would need the numerical values of Quantity I and Quantity II to make a comparison.
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Given below are two quantities named Quantity I and Quantity II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers.Quantity I: Volume, if diameter of sphere is 42 cm.Quantity II: Volume, if side of cube is 34 cm.a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or No relationCorrect answer is option 'B'. Can you explain this answer?
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