The volume of a cylinder which exactly fits in a cube of side a is __________.
Solution:
When a cylinder exactly fits inside a cube of side ‘a’ the radius of the cylinder becomes a/2
Radius of the cylinder = a/2
Volume of a cylinder = πr²h
In the given problem r = a/2 and
Height of the cylinder = a
Volume of the Cylinder = π(a)²a = πa³
✦ Try This: The volume of a cylinder which exactly fits in a cube of side 2a is __________.
When a cylinder exactly fits inside a cube of side ‘a’ the radius of the cylinder becomes a/2
Radius of the cylinder = 2a/2 = a
Volume of a cylinder = πr²h
In the given problem r = a and
Height of the cylinder = 2a
Volume of the Cylinder = π(a)²(2a) = 2πa³
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 36
The volume of a cylinder which exactly fits in a cube of side a is __________.
Summary:
The volume of a cylinder which exactly fits in a cube of side a is πa³
☛ Related Questions:
- The surface area of a cylinder which exactly fits in a cube of side b is__________
- If the diagonal d of a quadrilateral is doubled and the heights h1 and h2 falling on d are halved, t . . . .
- The perimeter of a rectangle becomes __________ times its original perimeter, if its length and brea . . . .
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