In the following question, two statements are numbered as I and II. On

1.	In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.Statement I. Diameter of a sphere is 42 m. What is the volume of the sphere?Statement II. Side of a cube is 56 cm. What is the volume of the cube?1.Quantity I ≥ Quantity II2.Quantity I ≤ Quantity II3.Quantity I < Quantity II4.Quantity I > Quantity B5.Quantity I = Quantity II or No relation
Answer» Correct Answer - Option 4 : Quantity I > Quantity B Concept: π = 22/7 1 cm³ = 1/1000000 m³ Formula: Volume of sphere = (4/3)πr³ Volume of cube = (side)³ Where r is radius Radius = diameter/2 Statement I. Calculation: Radius = 42/2 = 21 m Volume = (4/3) × (22/7) × 21³ m³ ⇒ Volume = 3808 m³ Statement II. Calculation: Volume of cube = 56 × 56 × 56 = 175616 cm³ ⇒ Volume of cube = 0.175616 m³ ∴ Quantity I > Quantity II

In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.Statement I. Diameter of a sphere is 42 m. What is the volume of the sphere?Statement II. Side of a cube is 56 cm. What is the volume of the cube?1.Quantity I ≥ Quantity II2.Quantity I ≤ Quantity II3.Quantity I < Quantity II4.Quantity I > Quantity B5.Quantity I = Quantity II or No relation

Answer» Correct Answer - Option 4 :

Quantity I > Quantity B

Concept:

π = 22/7

1 cm³ = 1/1000000 m³

Formula:

Volume of sphere = (4/3)πr³

Volume of cube = (side)³

Where r is radius

Radius = diameter/2

Statement I.

Calculation:

Radius = 42/2 = 21 m

Volume = (4/3) × (22/7) × 21³ m³

⇒ Volume = 3808 m³

Statement II.

Calculation:

Volume of cube = 56 × 56 × 56 = 175616 cm³

⇒ Volume of cube = 0.175616 m³

∴ Quantity I > Quantity II

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