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If the Slant Height of the Frustum of a Cone is 6 Cm and the Perimeters of Its Circular Bases Are 24 Cm and 12 Cm Respectively. What is the Curved Surface Area of the Frustum? - Mathematics

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प्रश्न

If the slant height of the frustum of a cone is 6 cm and the perimeters of its circular bases are 24 cm and 12 cm respectively. What is the curved surface area of the frustum?

संक्षेप में उत्तर

उत्तर

The parameter of upper base

`=2pir_1`

`2pir_1= 12`

     `r_1 = 6/pi cm`

The parameter of lower base

`=2pir_2`

`2pir_2= 24`

     `r_2 = 12/pi cm`

The surface area of frustum

`=pi(6/pi + 12/pi) xx 6`

`= pi xx 18/pi xx 6`

`=108  cm^2`

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अध्याय 14: Surface Areas and Volumes - Exercise 14.4 [पृष्ठ ८७]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 14 Surface Areas and Volumes
Exercise 14.4 | Q 20 | पृष्ठ ८७

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