Question
Download Solution PDFThe area of the base of a cone is 64π cm2 while its slant height is 17 cm. This cone is remoulded to obtain a solid sphere. Find the radius of this sphere.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFArea of base = 64π cm2
⇒ πr2 = 64
⇒ Radius of base = 8 cm
⇒ Height of cone = √(289 – 64) = 15
⇒ Volume of cone = πr2h/3 = (π × 8 × 8 × 15) /3 = 320π
cone is remoulded to obtain a solid sphere,
⇒ Volume of cone = volume of sphere
⇒ 320π = (4/3)π × radius3
⇒ Radius = 2∛30 cmLast updated on Jul 5, 2025
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