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SSC MTS 6 Aug 2019 Shift 3 Paper
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© examsnet.com
Question : 29
Total: 100
The radius of a right circular cone and a right circular cylinder are in the ratio 2 : 3. If the ratio of the height of the cone and the cylinder is 3 : 4, then what is the ratio of the volume of the cone and the cylinder?
1 : 6
1 : 9
1 : 3
2 : 3
Validate
Solution:
Let the radius of a right circular cone and a right circular cylinder are 2x and 3x.
And the height of the cone and the cylinder are 3y and 4y
⇒
The
volume
of
the
cone
The
volume
of
the
cylinder
=
1
3
π
r
2
h
π
R
2
H
=
1
3
×
4
x
2
×
3
y
9
x
2
×
4
y
⇒
The
volume
of
the
cone
The
volume
of
the
cylinder
=
1
9
∴ The ratio of the volume of the cone and the cylinder is 1 : 9.
© examsnet.com
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