1.

The radius and height of a right circular cone are in the ratio 4 : 7. If its volume is 1008π cm3, then find its slant height?1). 24.18 cm2). 25.26 cm3). 23 cm4). 26.14 cm

Answer»

Volume of RIGHT circular cone $(= \frac{{\pi {r^2}h}}{3})$

GIVEN, ratio of radius and height is 4:7

Let them be 4A and 7a respectively. Where a is any constant

Given, volume = 1008π cc

$(\therefore \pi\TIMES {(4a)^2} \times \frac{{7a}}{3} = 1008\pi)$

⇒ a3 = 27

⇒ a = 3 cm

SLANT height = √( radius2 + height2 )

⇒ Slant height = √( (4a)2 + (7a)2)

⇒ slant height = √( 144 + 441) = √(585) = 24.18 cm


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