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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.

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.

Answers (1)

Answer 854 cm2

Solution

            According to question

           

            Here are two cones joined together along their bases

            Height of both cone = 15 cm

            Base radius of both cone = 8 cm

            Surface area of combination = 2(surface area of one cone)

                                                            (Q both cones are same)

                        =2(\pi r l)

                        =2\pi r \sqrt{r^2+h^2}             \left (Q1= \sqrt{r^2+h^2} \right )

                        = 2 \times 3.14 \times 8 \times \sqrt{64+225}

                        = 2 \times 3.14 \times 8 \times 17

                        =854cm^2

            Hence the surface area of the combination is 854 cm2

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