a solid cone of height 14cm having its base radius 7cm is melted and recast to form a solid hemisphere calculate the radius of the solid hemisphere
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Answered by
18
Step-by-step explanation:
In cone
h=14cm
R=7cm
In sphere
r=?
volume of cone = volume of hemisphere
1/3 πR^2h = 2/3 πr^3 1/3 × 22/7 × 7 × 7 × 14 = 2/3 × 22/7 × r^3
2156/3 = 44/7 r^3
49×7 = r^3
283 = r^3
r = cube root of 283
r = 7
therefore ,
radius of the solid hemisphere is 7cm
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