Find the volume of a cylinder if the circumference of its base is 66 c

1.	Find the volume of a cylinder if the circumference of its base is 66 cm and height of cylinder is 40 cm? (Use π = 22/7)1. 13860 cm32. 17200 cm33. 11200 cm34. 22440 cm3
Answer» Correct Answer - Option 1 : 13860 cm³ Given: Circumference of the base of cylinder = 66 cm Height of cylinder = 40 cm Formula Used: Circumference of a circle = 2πr Where r = Radius of circle Volume of cylinder = πr²h Where h = height of the cylinder Calculation: Let the radius of the base of the cylinder be r 2πr = 66 cm ⇒ 2 × 22/7 × r = 66 cm ⇒ r = (3 × 7)/2 cm ⇒ r = 21/2 cm Volume of cylinder = π(21/2 cm)² × 40 cm ⇒ 22/7 × 441/4 × 40 cm³ ⇒ 220 × 63 cm³ ⇒ 13860 cm³ ∴ The Volume of the cylinder is 13860 cm³

Find the volume of a cylinder if the circumference of its base is 66 cm and height of cylinder is 40 cm? (Use π = 22/7)1. 13860 cm32. 17200 cm33. 11200 cm34. 22440 cm3

Answer» Correct Answer - Option 1 : 13860 cm³

Given:

Circumference of the base of cylinder = 66 cm

Height of cylinder = 40 cm

Formula Used:

Circumference of a circle = 2πr

Where r = Radius of circle

Volume of cylinder = πr²h

Where h = height of the cylinder

Calculation:

Let the radius of the base of the cylinder be r

2πr = 66 cm

⇒ 2 × 22/7 × r = 66 cm

⇒ r = (3 × 7)/2 cm

⇒ r = 21/2 cm

Volume of cylinder = π(21/2 cm)² × 40 cm

⇒ 22/7 × 441/4 × 40 cm³

⇒ 220 × 63 cm³

⇒ 13860 cm³

∴ The Volume of the cylinder is 13860 cm³

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