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 cm3
2. 17200 cm3
3. 11200 cm3
4. 22440 cm3
1. 13860 cm3
2. 17200 cm3
3. 11200 cm3
4. 22440 cm3
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