From the top of a cone of base diameter 10 cm and height 12 cm, a small cone is cut off by slicing parallel to the base, 3 cm from the vertex. Total surface area of the frustum so obtained is
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Answer:
Diameter of the cone ABO=10cm
∴ radius r1=210=5cm
Height of the cone ABO=h1=10cm
Height of the cone A∣B∣O=h2=4cm
First, let us find the other required data.
Radius of cone A∣B∣O=r2
Let the Slant height of cones ABO and A∣B∣O, be l1 and l2 respectively.
∴r2r1=h2h1,r25=410
∴r2
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