A hollow cylinder with outer radius 4 cm and height 2 cm is made up of

1.	A hollow cylinder with outer radius 4 cm and height 2 cm is made up of 1 cm thick metal sheet. What is the volume of metal used? (Take π = \(\frac{22}{7}\))1. 40 cm32. 56 cm33. 44 cm34. 65 cm3
Answer» Correct Answer - Option 3 : 44 cm³ Given: Outer Radius of hollow cylinder is 4 cm. Height is 2 cm. Thick is 1 cm. Formula used: Volume of hollow cylinder = Outer Volume – Inner Volume = πR²h – πr²h Calculation: Outer Radius(R) = 4 cm Inner Radius(r) = (4 – 1) cm = 3 cm. According to the question: πR2h – πr2h ⇒ πh(R² – r²) ⇒ (22/7) × (4² – 3²) × 2 ⇒ (22/7) × 7 × 2 ⇒ 44 cm³ ∴ The volume of metal used is 44 cm³.

A hollow cylinder with outer radius 4 cm and height 2 cm is made up of 1 cm thick metal sheet. What is the volume of metal used? (Take π = \(\frac{22}{7}\))1. 40 cm32. 56 cm33. 44 cm34. 65 cm3

Answer» Correct Answer - Option 3 : 44 cm³

Given:

Outer Radius of hollow cylinder is 4 cm.

Height is 2 cm.

Thick is 1 cm.

Formula used:

Volume of hollow cylinder = Outer Volume – Inner Volume

= πR²h – πr²h

Calculation:

Outer Radius(R) = 4 cm

Inner Radius(r) = (4 – 1) cm = 3 cm.

According to the question:

πR2h – πr2h

⇒ πh(R² – r²)

⇒ (22/7) × (4² – 3²) × 2

⇒ (22/7) × 7 × 2

⇒ 44 cm³

∴ The volume of metal used is 44 cm³.

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A hollow cylinder with outer radius 4 cm and height 2 cm is made up of 1 cm thick metal sheet. What is the volume of metal used? (Take π = \(\frac{22}{7}\))1. 40 cm32. 56 cm33. 44 cm34. 65 cm3

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