find the volumw of a cone having height21cm and slant height28cm
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By Pythagoras theorem,
(slant height)² = (radius )² + ( height)²
⇒radius² = (28)² - (21)²
= (28 +21) (28- 21)
= 49 × 7
radius = 7√7 cm
now, volume = ( π r² h)/3
=((22/7)× 343× 21)/3
= 7546 cm³
∴ volume = 7546 cm3
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