1.

A cylinder with base radius 8 cm and height 2cm is melted to form a cone of height 6 cm. The radius of the cone will be

Answer» VOLUME of cylinder = Volume of cone 
πR²H = 1/3πr²h       R = RADIUS of cylinder ; H = HIEGHT of cylinder ;
                                r = radius of cone ; h = hieght of cone
⇒R²H = 1/3 × r² × h
  8² × 2 = 1/3 × r² × 6
  64 × 2 = r² × 2
  64 = r²
⇒ r = √64 = 8cm
∴Radius of cone = 8 cm

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