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Anika [276]
2 years ago
9

Plese huryyyyyyyyyyyy!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Lana71 [14]2 years ago
3 0

Answer:

See below ↓↓

Step-by-step explanation:

<u>Formulas to keep in mind</u>

  • Volume (cone) = 1/3πr²h
  • Volume (sphere) = 4/3πr³

<u>Solving</u>

  • It's given in the question that the volumes are equal and height of the cone is 96 units
  • Equate the volumes and substitute the value of h

⇒ 1/3πr₁²h = 4/3πr₂³

⇒ r₁² x 96 = 4 x r₂³

⇒ r₂³ / r₁² = 24

⇒ r₂ (Radius of sphere) = <u>2.88 units</u>

⇒ r₁ (Radius of cone) = <u>1 unit</u>

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Step-by-step explanation:

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