3. The radii of the internal and external surfaces of
a metallic spherical shell are 3 cm and 5 cm
respectively. It is melted and recast into a solid
right circular cone of height 32 cm. Find the
diameter of the base of the cone.
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Step-by-step explanation:
MATHS
The radii of the internal and external surfaces of a metallic spherical shell are 3cm and 5cm respectively. It is melted and recast into a solid right circular cylinder of height 10
3
2
cm. Find the diameter of the base of the cylinder.
November 22, 2019avatar
Samy Punjabi
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ANSWER
Let the radius of the base of the cylinder be r cm.
Then volume of the metallic solid cylinder of height 10
3
2
cm
= volume of the metal in the spherical shell
⇒π×r
2
×
3
32
=
3
4
π(5
3
−3
3
)
⇒
3
32
r
2
=
3
4
(125−27)
⇒r
2
=
32
3
×
3
4
×98⇒r
2
=
4
49
⇒r=
2
7
cm
⇒r=
2
7
cm
⇒D=7cm
Answered by
4
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