MHT CET 2023 Mathematics question
A right circular cone has height 9cm and radius of base 5cm. It is inverted and water is poured into it. If at any instant, the water level rises at the rate cm/sec. where A is area of water surface at that instant, then cone is completely filled in......
Answer: (B)
Solution
With the vertex down, let the water depth be and surface radius . By similar triangles . Volume of water and the surface area is . Hence \frac\frac{25}{81}$⇒==π
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