The volume of a sphere is equal to two-third the
volume of a cylinder of the same height and
diameter,
true or false
Answers
Answered by
1
Answer:
True Justification: Let the radius of the sphere = r. According to the question, height and diameter of cylinder = diameter of sphere. So, the radius of the cylinder = r And, the height of the cylinder = 2r We know that, Volume of sphere = 2/3 volume of cylinder Hence, the given statement “the volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere” is true.
Answered by
0
Answer:
true
Step-by-step explanation:
Volume of the sphere =
3
4
πr
3
cylinder =$$
Volume of cylinder =πr
2
h=πr
2
.2r(as it is given radius of cylinder =r and h=2r)
Volume of Sphere=
3
2
πr
2
(2r)=
3
2
volume of cylinder
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