self Maths Puzzle

the radius of the base of the right circular cone is doubled. To keep the volume fixed, the height of the cone will be

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self Other Question

Three circles of radii 4cm, 6cm and 8cm touch each other pairwise externally. The area of the triangle formed by the line-segments joining the centres of the three circkes is The ratio of a length of each equal side and the third side of an isosceles triangle is 3:4. If the area of the triangle is 18root5 square unit, the third side is