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The Radii of the Circular Ends of a Solid Frustum of a Cone Are 33 Cm and 27 Cm and Its Slant Height is 10 Cm. Find Its Total Surface Area. - Mathematics

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प्रश्न

The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area.

संक्षेप में उत्तर

उत्तर

The slant height of the frustum of a cone is l=10cm. The radii of the upper and lower circles of the bucket are r1 =33cm and r2 =27cm respectively.

The total surface area of the frustum of the cone is

`S_1 = pi (r_1 + r_2) xx  l + pir_1^2 + pir_1^2`

    ` = pi xx (33 + 27) xx 10 + pi xx 33^2 + pi xx 27^2`

    ` = 600pi + 1089pi + 729pi`

    ` = 7599.42 cm^2`

Hence total surface area is `= 7599.42 cm^2`

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अध्याय 14: Surface Areas and Volumes - Exercise 14.3 [पृष्ठ ७९]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 14 Surface Areas and Volumes
Exercise 14.3 | Q 14 | पृष्ठ ७९

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