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Question
Volume of a hemisphere is 18000 π cubic cm. Find its diameter.
Solution
Let the radius of the hemisphere be r cm.
Volume of the hemisphere (V) = 18000 π cm3
Volume of the hemisphere = `2/3 pi "r"^3`
∴ 18000 π = `2/3 πr^3`
⇒ r3 = `[18000 pi xx 3]/[2 pi]`
⇒ r3 = 27000
⇒ r3 = `root(3)(27000)`
⇒ r = 30 cm
∴ Diameter of the hemisphere = 2r = 2 × 30 = 60 cm
Thus, the diameter of the hemisphere is 60 cm.
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