Two cones with same base radius 8 cm and height 15 cm are joined together along their bases. Find the surface area of the shape so formed.
Given: Two cones with same base radius 8 cm and height 15 cm.
Formula Used: CSA of cone = πrl
Explanation:
If two cones with same base and height are joined together along their bases, then the shape so formed looks like as figure shown.
Given, that, radius of cones, r = 8 cm and height of the cone, h = 15 cm
So, the surface area of the shape so formed
= Curved area of first cone + Curved surface area of the second cone
Since both cones are identical,
the surface area of the shape = 2× Surface area of the cone
= 2 πrl
= 854.85 cm2
= 855 cm2 (approx.)
Hence, the surface area of the shape is 855 cm2 (approx.)