The circumference of a base of cylinder is 44 cm and height is 15 cm what is the volume of cylinder
Answers
Given:
Circumference of the base of cylinder is 44 cm.
Height of the cylinder is 15 cm.
Find:
Volume of cylinder
Solution:
Let the radius of the cylinder be 'r' cm.
We know that,
The circumference of base of cylinder = 2πr
=> 44 = 2πr
=> 44 = 2 × 22/7 × r
=> 44 = 44/7 × r
=> 44 × 7/44 = r
=> 7 = r
=> r = 7cm
The radius of the cylinder is 7cm.
Now,
Volume of the cylinder = πr²h
=> πr²h
=> 22/7 × (7)² × 15
=> 22/7 × 49 × 15
=> 22 × 7 × 15
=> 2310cm³
Hence, the volume of cylinder is 2310 cm³.
Important Information:
Volume of cylinder ( Area of base × height ).
= (πr²) × h
= πr²h
Curved surface = ( Perimeter of base ) × height.
= (2πr) × h
= 2πrh
Total surface are = Area of circular ends + curved surface area.
= 2πr² + 2πrh
= 2πr(r + h)
Where,
- r = radius of the circular base of the cylinder.
- h = height of cylinder
I hope it will help you.
Regards.
Given,
The circumference of a base of cylinder is 44 cm and height is 15 cm.
To find,
Volume of cylinder .
Solution :
Circumference of base of cylinder = 2πr
⇒ 2πr = 44
⇒ 2 * 22/7 * r = 44
⇒ 44r/7 = 44
⇒ 44r = 7 * 44
⇒ r = (7 * 44)/44
⇒ r = 7 cm
∴ Radius of cylinder = 7 cm
Now we know,
Volume of cylinder = πr²h
⇒ Volume of cylinder = 22/7 * (7)² * 15
⇒ Volume of cylinder = 22/7 * 49 * 15
⇒ Volume of cylinder = 22 * 7 * 15
⇒ Volume of cylinder = 2310 cm³
Therefore,