The circumference of the base of a cylindrical container is 88 cm. and

1.	The circumference of the base of a cylindrical container is 88 cm. and the height of the container is 10 cm. What is the capacity of the container?1. 6160 cm32. 6260 cm33. 5860 cm34. 6360 cm3
Answer» Correct Answer - Option 1 : 6160 cm³ Given: The circumference of the base of the container is 88 cm and the height of the container is 10 cm. Concept Used: The base of a cylinder is a circle, so, the circumference of the base is 2πr where r is the radius of the base The volume of a cylinder is πr²h where r is the radius of the base and h is the height of the cylinder Calculation: Let, the radius of the base be r Accordingly, 2πr = 88 ⇒ 2 × 22/7 × r = 88 ⇒ r = 14 The volume of the glass is π(14)² × 10 ⇒ (22/7) × 14 × 14 × 10 ⇒ 6160 cm³ ∴ The capacity of the glass is 6160 cm³.

The circumference of the base of a cylindrical container is 88 cm. and the height of the container is 10 cm. What is the capacity of the container?1. 6160 cm32. 6260 cm33. 5860 cm34. 6360 cm3

Answer» Correct Answer - Option 1 : 6160 cm³

Given:

The circumference of the base of the container is 88 cm and the height of the container is 10 cm.

Concept Used:

The base of a cylinder is a circle, so, the circumference of the base is 2πr where r is the radius of the base

The volume of a cylinder is πr²h where r is the radius of the base and h is the height of the cylinder

Calculation:

Let, the radius of the base be r

Accordingly,

2πr = 88

⇒ 2 × 22/7 × r = 88

⇒ r = 14

The volume of the glass is π(14)² × 10

⇒ (22/7) × 14 × 14 × 10

⇒ 6160 cm³

∴ The capacity of the glass is 6160 cm³.

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