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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the total surface area of frustum, if its radii are 15 cm and 7 cm. Also, the slant height of the frustum is 14 cm.

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प्रश्न

Find the total surface area of frustum, if its radii are 15 cm and 7 cm. Also, the slant height of the frustum is 14 cm.

Radii of the frustum = `square` cm and `square` cm

Slant height of the frustum = `square` cm

Total surface area = `π[(r_1^2 + r_2^2 + (r_1 + r_2)l]`

= `22/7 [square + square + (square + square) square]`

= `22/7 (square)`

= `square` cm2

Hence, the total surface area of the frustum is `square`.

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उत्तर

Radii of the frustum = 15 cm and 7 cm

Slant height of the frustum = 14 cm

Total surface area = `π[(r_1^2 + r_2^2 + (r_1 + r_2)l]`

= `22/7` [(15)2 + (7)2 + (15 + 7) 14]

= `22/7 (bb582)`

= 1829.14 cm2

Hence, the total surface area of the frustum is 1829.14 cm2.

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