The volume of a cone is 1570 cmcube.if its base area is 314cmsquare, then its height is
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given :-
base area of the cone = 314cm²
we know that the base of a cone is circular.
so we can write as,
=> πr² = 314cm² …(i)
now, the volume of the cone us given = 1570cm³
formula for the volume of a cone is 1/3πr²h
therefore 1/3πr²h = 1570cm³ …(ii)
putting value of (i) in (ii)
=> 1/3 × 314 × h = 1570cm³
=> h = (1570 × 3)/314
=> h = 5 × 3
=> h = 15cm
hence, the height of the cone is 15cm.
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