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Maths / Surface Area and Volume / Volume of Cone
QUESTION
 

Find the capacity in litres of a conical vessel with radius 7 cm and slant height 25 cm

OPTIONS
A. 

large 1233cm^3

B. 

large 1322cm^3

C. 

large 1232cm^3

D. 

large 1242cm^3

Right Option : C
EXPLANATION
Explain TypeExplanation Content
Text

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

large h=sqrt{l^2-r^2}=sqrt{25^2-7^2}=sqrt{625-49}

large h=sqrt{576}=24cm

large Volume=frac{1}{3}times frac{22}{7}times 7^2times24

large Volume=frac{1}{3}times frac{22}{7}times 49times24

large Volume=frac{1}{3}times frac{22}{7}times 49times24=1232cm^3

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