The volume of right circular cylinder of height 14 cm is 1100cm cube . find the radius of the base of the cylinder
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Answers
Given:
- The volume of right circular cylinder = 1100 cm³
- Height of right circular cylinder,h = 14 cm
To find out:
Find the radius of the base of the cylinder.
Formula used:
Volume of cylinder = r²h
Solution:
Volume of cylinder = r²h
→ 1100 = 22/7 × r² × 14
→ 1100 = 22 × r² × 2
→ 1100 = 44 × r²
→ r² = 1100/44
→ r² = 25
→ r = 5 cm
Hence, The radius of the base of the cylinder is 5 cm.
Given :
- The volume of right circular cylinder = 1100 cm³
- The height of right circular cylinder = 14 cm
To find :
- Radius of right circular cylinder =?
Step-by-step explanation:
The volume of right circular cylinder of height 14 cm is 1100cm cube . [Given]
We know that,
The volume of right circular cylinder = πr²h
Substituting the values in the above formula, we get,
➮ 1100 = (22/7) r² × 14
➮ 1100 = 22 × r² × 2
➮ 1100 = 44r²
➮ r² = 1100/44
➮ r² = 25
➮ r = √25
➮ r = 5
Therefore, Radius of right circular cylinder = 5.
Brainly Extra Knowledge :
Properties of Right Circular Cylinder
Properties of Right Circular CylinderYou must have learned about the properties of the cylinder before.
Here, let us discuss the right circular cylinder properties.
- The line joining the centres of the circle is called axis.
- When we revolve a rectangle about one side as the axis of revolution, a right cylinder is formed.
- The section obtained on cutting a right circular cylinder by a plane, which contains two elements and parallels to the axis of the cylinder is the rectangle.
- If a plane cuts the right cylinder horizontally parallel to the bases, then its a circle.