A steel industry melts a spherical ball of radius 21 cm and recasts it into a right conical funnel of base diameter 28 cm
Determine the height of right conical funnel thus obtained, if this is used for liquid-liquid extraction.
Answers
Given : A steel industry melts a spherical ball of radius 21 cm and recasts it into a right conical funnel of base diameter 28 cm
To Find : height of right conical funnel
Solution:
Volume of Spherical ball = (4/3)πR³
= (4/3)π21³
= 4 π * 7 * 21²
= 28π * 21² cm³
right conical funnel of base diameter 28 cm
r = 28/2 = 14cm
h = ?
Volume = (1/3)πr²h
= (1/3)π(14)² * h
(1/3)π(14)² * h = 28π * 21²
=> (1/3) (2)² * h = 28 * 3²
=> h = 7 * 9 * 3
=> h = 189 cm
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