Q. 17 3.9( 7 Votes )

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.

Answer :

When two identical cones are joined along their base, the shape so formed will be as shown in figure


Total surface area of shape formed = Curved area of first cone + Curved surface area of second cone

= 2(Surface area of cone)

[since, both cones are identical]

Now, As we know,

Surface area of cone = πrl,

where r = radius and l = slant height

Total Surface area of shape so formed = 2πrl


Radius, r = 8 cm

Height, h = 15 cm


Area = 2(3.14)(8)(15) = 753.6 cm2

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