a solid hemisphere is made of wax with radius 12 cm is melted and made into a cone base radius 6 cm, compute the height of the cone?
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Volume of a hemisphere
=2/3πr²
=2/3×22/7×12×12
=44/7×4×12
=(44×48)/7
=2112/7 cm³
Now, volume of a cone
=1/3πr²h=2112/7
or, 1/3×22/7×6×6×h=2112/7
or, 1/3×22×36×h=2112
or, 22×12×h=2112
or, h=2112/(22×12)
or, h=176/22
or, h=88/11
or, h=8 cm Ans.
=2/3πr²
=2/3×22/7×12×12
=44/7×4×12
=(44×48)/7
=2112/7 cm³
Now, volume of a cone
=1/3πr²h=2112/7
or, 1/3×22/7×6×6×h=2112/7
or, 1/3×22×36×h=2112
or, 22×12×h=2112
or, h=2112/(22×12)
or, h=176/22
or, h=88/11
or, h=8 cm Ans.
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