Question
Download Solution PDFA small cone of base area 4π cm2 and volume of 12π cm3 is cut from the top of a large cone of base area 16π cm2 and volume of 96π cm3. Find the height of the remaining solid figure.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF∵ Base area of cone = π(radius)2 & Volume of cone = (1/3)π × (radius)2 × height
⇒ The volume of cone = (1/3) × base area × height
Now, Volume of small cone = 12π cm3
⇒ 12π = 1/3 × 4π × Height
⇒ Height of small cone = 9 cm
Similarly, Volume of large cone = 96π cm3
⇒ 96π = 1/3 × 16π × Height
⇒ Height of large cone = 18 cm
∴ Height of remaining solid figure = Height of large cone – Height of small cone = 18 – 9 = 9 cm
Last updated on Jul 21, 2025
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