The circumference of a base of cylinder is 44 cm and height is 15 cm what is the volume of cylinder
Answers
Answer :
Explanation:
Given Circumference of a circular base of a cylinder = 44 cm
We know that Circumference of a circle = 2πr = 44⇒r = 22π
Now given the height of a cylinder h = 15 cm
Volume of a cylinder V = πr2h = π(22π)215 = 22 x 22 x 153.14 = 2311 cm³
hope it's correct and helpful for you
Given:
Circumference of the base of cylinder is 44 cm.
Height of the cylinder is 15 cm.
Find:
The 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.