Two cones have their heights in the ratio 1:3 and the radii of their bases in in the ratio 3:1 show that their volumes are in the ratio 3:1
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Let :-
h1=h h2=3h
r1=3r r2=r
V1 / V2 =1/3×22/7× 3r×3r×h ÷ 1/3 ×22/7×r×r×3h
=9r sqr ×h ÷ r sqr. ×3h
=9÷3
=9/3
=3
h1=h h2=3h
r1=3r r2=r
V1 / V2 =1/3×22/7× 3r×3r×h ÷ 1/3 ×22/7×r×r×3h
=9r sqr ×h ÷ r sqr. ×3h
=9÷3
=9/3
=3
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