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Find the Radius of the Circular Base of the Cone , If Its Volume is 154 Cm3 and the Perpendicular Height is 12 Cm - Mathematics

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Question

Find the radius of the circular base of the cone , if its volume is 154 cm3 and the perpendicular height is 12 cm

Sum

Solution

Volume of the cone = 154 cm3 

⇒ `1/3 xx (pir^2) xx h = 154`

⇒ `1/3 xx (pir^2) xx 12 = 154`

⇒ `r^2 = (154 xx 3 xx 7)/(12 xx 22)`

⇒ `r^2 = 12.25`

⇒ r = 3.5 cm

Radius of the circular base of the cone is 3.5 cm

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Chapter 20: Mensuration II - Exercise 20.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 20 Mensuration II
Exercise 20.1 | Q 8

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