Question

A cylindrical vessel having base radius 8 cm and the ratio of height and radius is 7 : 8 then find the volume of the cylindrical vessel? (use π = 22/7)
1. 1408 cm³ 
2. 343 cm3 
3. 512 cm3 
4. 1331 cm3 

Answer 1

Correct Answer - Option 1 : 1408 cm³ 

Given:

Base Radius of cylindrical vessel = 8 cm

Ratio of height and radius = 7 : 8

Formula Used:

Volume of cylinder = πr²h

Here, r = Radius and h = Height

Calculation:

Height/Radius = 7/8

⇒ Height/8 cm = 7/8

⇒ Height = 7 cm

Volume of cylindrical vessel = π(8 cm)²(7 cm)

⇒ 22/7 × 64 × 7 cm³ 

⇒ 22 × 64 cm³ 

⇒ 1408 cm³ 

∴ The volume of the cylindrical is 1408 cm³