a hemisphere of radius 8cm is cast into a right circular cone of Base radius 6cm determine the height of the cone, correct to two places of decimal
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ANSWER:---------------
{ volume of hemisphere = volume of cone}
[2/3×pi×r^3 = 1/3×pi×r^2×h]
[hight = 2×8×8×8/6×6]
multiply. 2×8×8and also divide 8/6(6×6)
[hight = 28.44 cm ]
hope it helps:--
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hemisphere
R = 8 cm
Cone
r = 6 cm
height = h
Volume of cone = Volume of hemisphere
πr^2h/3 = 2πR^3/3
r^2h = 2R^3
6X6Xh = 8X8X8X2
h = 1024/36
h= 28.4444444.......
h = 28.44 cm
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