A solid right circular cone of radius 4cm and height 7cm is melted to form a sphere. Find the radius of the sphere.
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Answered by
155
Solution :-
A solid right circular cone of radius 4 cm and height 7 cm is melted to form a sphere.
Then,
The Volume of cone = Volume of sphere
1/3πr²h = 4/3πr³
⇒ Volume of cone = 1/3*22/7*4*4*7
= 352/3
= 117.33333 cu cm
Volume of sphere = 4/3πr³
⇒ 117.33333 = 4/3*22/7*r³
⇒ 117.33333*21 = 88r³
⇒ 2463.99993 = 88r³
⇒ r³ = 2463.99993/88
⇒ r³ = 27.9999
⇒ r = ∛27.9999
⇒ r = 3.0365 cm
So, radius of the sphere is 3.0365 cm
Answer.
A solid right circular cone of radius 4 cm and height 7 cm is melted to form a sphere.
Then,
The Volume of cone = Volume of sphere
1/3πr²h = 4/3πr³
⇒ Volume of cone = 1/3*22/7*4*4*7
= 352/3
= 117.33333 cu cm
Volume of sphere = 4/3πr³
⇒ 117.33333 = 4/3*22/7*r³
⇒ 117.33333*21 = 88r³
⇒ 2463.99993 = 88r³
⇒ r³ = 2463.99993/88
⇒ r³ = 27.9999
⇒ r = ∛27.9999
⇒ r = 3.0365 cm
So, radius of the sphere is 3.0365 cm
Answer.
shub16:
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Answer:
Step-by-step explanation:
A solid right circular cone of radius 4 cm and height 7 cm is melted to form a sphere.
Then,
The Volume of cone = Volume of sphere
1/3πr²h = 4/3πr³
⇒ Volume of cone = 1/3*22/7*4*4*7
= 352/3
= 117.33333 cu cm
Volume of sphere = 4/3πr³
⇒ 117.33333 = 4/3*22/7*r³
⇒ 117.33333*21 = 88r³
⇒ 2463.99993 = 88r³
⇒ r³ = 2463.99993/88
⇒ r³ = 27.9999
⇒ r = ∛27.9999
⇒ r = 3.0365 cm
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