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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

If the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105 cm. - Mathematics

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प्रश्न

If the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105 cm.

योग

उत्तर

Circumference of the wooden piece = 484 cm

2πr = 484

` 2 xx 22/7 xx "r"` = 484 cm

r = `(484 xx 7)/(2 xx 22)`

r = 77 cm

Height of the wooden piece (h) = 105 cm

Volume of the conical wooden piece = `1/3 pi"r"^2"h"` cu.units

= `1/3 xx 22/7 xx 77 xx 77 xx 105` cm3

= 22 × 11 × 77 × 35 cm3

= 652190 cm3

Volume of the wooden piece = 652190 cm3

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अध्याय 7: Mensuration - Exercise 7.2 [पृष्ठ २९०]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 7 Mensuration
Exercise 7.2 | Q 3 | पृष्ठ २९०

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