A) 0.95
B) 0.85
C) 0.05
D) 195
7) A metallic cone of volume 2136 cm' is recast into a hemisphere. The radius of the hemisphere is
A) 14 cm
B) 7 cm
C) 21 cm D) 3.5 cm
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Q. 1
5.0
( 5 Votes )
A solid metallic hemisphere of radius 8 cm is melted and re-casted into a right circular cone of base radius 6 cm. Determine the height of the cone.
Class 10th
NCERT - Maths Exemplar
12. Surface Areas and Volumes
Answer
For hemisphere,
Radius, r = 8 cm
As we know,
Volume of hemisphere
Where, r = radius of hemisphere
Volume of given hemisphere
For cone that is recast from hemisphere,
Base radius, r = 6 cm
We know that,
volume of cone
Where, r is base radius and h is the height of the cone.
Now,
Volume of cone
As the volume remains same, when a body is reformed to another body
Volume of cylinder = Volume of cone
12πh = 1024π /3
h = 28.44 cm
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