The volume of a cylinder whose radius r is equal to its height is
a) (1/4)πr³
(b) πr³/32
(c) πr³
(d) r³/8
Solution:
The volume of a cylinder is = πr²h (1)
Where
r = radius of the cylinder
h = height of the cylinder
If height of the cylinder = radius of the cylinder implies
h = r
Therefore equation (1) is modified to:
πr²h = πr²(r) = πr³
The answer is choice ( c ).
✦ Try This: The volume of a cylinder whose radius r is equal to its half the height is (a) 2πr³, (b) πr³/32, (c) πr³, (d) r³/8
The volume of a cylinder is = πr²h (1)
Where
r = radius of the cylinder
h = height of the cylinder
If height of the cylinder = radius of the cylinder implies
r = h/2
Therefore equation (1) is modified to:
πr²h = πr²(2r) = 2πr³
The answer is choice (a).
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 14
The volume of a cylinder whose radius r is equal to its height is (¼)πr³ (b) πr³/32 (c) πr³ (d) r³/8
Summary:
The volume of a cylinder whose radius r is equal to its height is πr³
☛ Related Questions:
visual curriculum