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A Solid Frustum is of Height 8 Cm. If the Radii of Its Lower and Upper Ends Are 3 Cm and 9 Cm Respectively, Then Its Slant Height is - Mathematics

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Question

A solid frustum is of height 8 cm. If the radii of its lower and upper ends are 3 cm and 9 cm respectively, then its slant height is

Options

  • 15 cm

  • 12 cm

  •  10 cm

  • 17 cm

MCQ

Solution

`r_1 = 9 "cm"`

`r_2 =3 "cm"`

`h = 8"cm"`

Slant height of frustum , l `=sqrt(h^2 + (r_1 - r_2)^2)`

                                          `= sqrt(8^2 + (9 - 3)^2)`

                                          `= sqrt(64 + 36)`

                                          `= sqrt 100`

                                          `= 10 "cm"`

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Chapter 14: Surface Areas and Volumes - Exercise 14.5 [Page 90]

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RD Sharma Mathematics [English] Class 10
Chapter 14 Surface Areas and Volumes
Exercise 14.5 | Q 37 | Page 90

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