Given below are two quantities named I and II. Based on the given info

1.	Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: If the diameter of the sphere is 42 cm then find the volume of the sphere?Quantity II: If the side of the cube is 27 cm then find the volume of the cube?1. Quantity I > Quantity II2. Quantity I ≥ Quantity II 3. Quantity II > Quantity I4. Quantity II ≥ Quantity I5. Quantity I = Quantity II or Relation cannot be established
Answer» Correct Answer - Option 1 : Quantity I > Quantity II Given: Diameter of sphere = 42 cm Then, Radius = 21 Formula: Volume of sphere = 4/3 × π × R³ Calculation: We know that – Volume of sphere = 4/3 × π × R³ …….. (1) Now, Put all the given values in equation (1) then we get Volume of sphere = 4/3 × 22/7 × (42/2)³ ⇒ 4/3 × 22/7 × 21 × 21 × 21 ⇒ 4 × 22 × 21 × 21 ⇒ 38808 ∴ The Volume of a sphere will be 38808 cm³ Quantity II: Given: Side of cube = 27 cm Formula: Volume of cube = (side)³ Calculation: We know that – Volume of cube = (side)³ …….. (1) Now, Put the given value in equation (1) then we get Volume of cube = (27)³ ⇒ 27 × 27 × 27 ⇒ 19683 ∴ The Volume of a cube will be 19683 cm³ Comparison of both the result: ∴ Quantity I > Quantity II

Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: If the diameter of the sphere is 42 cm then find the volume of the sphere?Quantity II: If the side of the cube is 27 cm then find the volume of the cube?1. Quantity I > Quantity II2. Quantity I ≥ Quantity II 3. Quantity II > Quantity I4. Quantity II ≥ Quantity I5. Quantity I = Quantity II or Relation cannot be established

Answer» Correct Answer - Option 1 : Quantity I > Quantity II

Given:

Diameter of sphere = 42 cm

Then, Radius = 21

Formula:

Volume of sphere = 4/3 × π × R³

Calculation:

We know that –

Volume of sphere = 4/3 × π × R³ …….. (1)

Now,

Put all the given values in equation (1) then we get

Volume of sphere = 4/3 × 22/7 × (42/2)³

⇒ 4/3 × 22/7 × 21 × 21 × 21

⇒ 4 × 22 × 21 × 21

⇒ 38808

∴ The Volume of a sphere will be 38808 cm³

Quantity II:

Given:

Side of cube = 27 cm

Formula:

Volume of cube = (side)³

Calculation:

We know that –

Volume of cube = (side)³ …….. (1)

Now,

Put the given value in equation (1) then we get

Volume of cube = (27)³

⇒ 27 × 27 × 27

⇒ 19683

∴ The Volume of a cube will be 19683 cm³

Comparison of both the result:

∴ Quantity I > Quantity II