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Maths / Surface Area and Volume / Volume of Cone
QUESTION
 

Find the capacity in litres of a conical vessel with height 12cm and slant height 13cm:

OPTIONS
A. 

large 628.58cm^3

B. 

large 445.58cm^3

C. 

large 528.58cm^3

D. 

large 630.55cm^3

Right Option : A
EXPLANATION
Explain TypeExplanation Content
Text

Volume of cone = large frac{1}{3}pi r^2h

large r=sqrt{l^2-h^2}=sqrt{13^2-12^2}=sqrt{169-144}

large r=sqrt{25}=5cm

large Volume=frac{1}{3}times frac{22}{7}times 5^2times12

large Volume=frac{1}{3}times frac{22}{7}times 25times24

large Volume=frac{1}{3}times frac{22}{7}times 25times24=628.58cm^3

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