two cones with same base radius 8 cm and height 15 cm are joined together along their bases.Find the surface area of the base so formed.
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Answer:
The answer to your question is 855cm^2
Step-by-step explanation:
When two cones of same base are joined together, the surface of the shape formed will only have the curved surfaced areas visible.
We know that curved surface area of a cone =πrl where r is the radius of the cone and l is the slant height.
As both the cones have the same base and height, they are identical and their curved surface areas are equal.
Hence, surface area of this shape = Curved surface area of Cone 1 + Curved surface area of Cone.
2=2×(πrl)
Given, r =c cm and h =15 cm
⇒l= r^2 +h^2 = root8^2 +15^2 = root64+225 =17 cm
Surface area of this shape =2×(πrl)=2× 22/7 ×8×17≅855cm ^2
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