Question

the capacity of a cylindrical glass tumbler is 125.6 cm³. if the radius of the glass tumbler is 2cm , then find its height ( use x = 3.14)​

Answer 1

Given :-

• The capacity of a cylindrical glass tumbler is 125.6 cm³. if the radius of the glass tumbler is 2cm

To find :-

• Height of cylindrical glass tumbler

Solution :-

• Capacity of cylinderical tumbler = 125.6cm³

• Radius of cylindrical tumbler = 2 cm

As we know that

→ Volume of cylinder = Capacity of cylinderical tumbler = πr²h

Where " r " is radius and " h " is height of cylinder

As per given condition

→ Volume of cylindrical tumbler = 125.6cm³

→ πr²h = 125.6

→ 3.14 × (2)² × h = 125.6

→ 3.14 × 4 × h = 125.6

→ 12.56 × h = 125.6

→ h = 125.6/12.56

→ h = 1256/1256 × 100/10

→ h = 10cm

Hence,

• Height of cylindrical tumbler 10cm

Answer 2

Answer:

• Volume = 125.6 cm³
• Radius = 2 cm
• Height = ?

• According to the Question :

⇒ Volume of cylindrical glass = 125.6 cm³

⇒ πr²h = 125.6

⇒ 3.14 × (2)² × h = 125.6

⇒ 3.14 × 4 × h = 125.6

⇒ 12.56 × h = 125.6

⇒ h = 125.6 ÷ 12.56

⇒ h = (1256 × 10) ÷ 1256

⇒ h = 10 cm

∴ Height of glass tumbler is 10 cm.