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in Surface Areas And Volumes by (48.7k points)
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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.

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by (47.3k points)
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Best answer

According to the question,

We get the figure given below,

We know that,

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

Since, both cones are identical,

We have,

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

= 2(Surface area of cone)

We also know that,

Surface area of cone = πrl, where r = radius and l = slant height

And, the total Surface area of shape so formed = 2πrl

Given in the question that,

Radius, r = 8 cm

Height, h = 15 cm

Therefore,

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

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