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The Diameters of the Ends of a Frustum of a Cone Are 32 Cm and 20 Cm. If Its Slant Height is 10 Cm, Then Its Lateral Surface Area is - Mathematics

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Question

The diameters of the ends of a frustum of a cone are 32 cm and 20 cm. If its slant height is 10 cm, then its lateral surface area is

Options

  • 321 π cm2

  • 300 π cm2

  • 260 π cm2

  • 250 π cm2

MCQ

Solution

`r_1 = 32/2`

   `= 16 "cm"`

`r_2 = 20/2`

   ` = 10 cm`

Slant height = 10 cm

Total lateral surface area

`= pi(r_1 +r_2) l`

`=pi (16 + 10 )10`
= 260 \[\pi {cm}^2\]

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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 36 | Page 90

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