Listen NCERT Audio Books to boost your productivity and retention power by 2X.
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
We have,
Height of cone = 12cm
Area of circular base = 64π cm2
Height from the vertex of small cone = 9 cm
π r2 = 64π
r2= 64
Radius of base = 8cm
From similarity triangle =
= R =
R = radius of small cone
Area of small cone = πr2 = π(6)2 = 36π cm2