The height of a solid cone is 12 cm and the area of the circular base is 64π cm². A plane parallel to the base of the cone cuts through the cone 9 cm above the vertex of the cone, the area of the base of the new cone so formed is
A. 9π cm²
B. 16π cm²
C. 25π cm²
D. 36π cm²
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Answer:
Answer:
=> 16π cm² or 25π cm²
Step-by-step explanation:
Height = 12 cm
Area of the circular base = πr² = 64π cm²
=> π × (√64)² = π × 8²
∴ Radius = 8 cm
∴ Slant height = √(8²+12²) = √(64+144) = √208 = 14.43( approx.)
The new height formed on cutting = 12 - 9 = 3 cm
To obey the Pythagoras' theorem, the base radius must be either 4 or 5 and so must be the slant height.......
∴ Area of the new base = π × 4² or π × 5²
=> 16π cm² or 25π cm²
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