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1 November, 07:53

Water leaks from a crack in a vase at a rate of 0.5 cubic inch per minute. How long does it take for 20% of the water to leak from a full vase?

the cone is 4.8 inch in diameter. and 10 inches in height. the formula is (1/3) x 3.14 x radius squared x height.

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  1. 1 November, 08:06
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    Find total volume to find what amount is 20%

    hack, is put the 20% in alreadyy to find 20% volume

    20%=1/5

    so

    vcone=1/3 (hpir^2)

    times thath by 1/5

    vcone=1/15 (hpir^2)

    d/2=r

    given

    4.8=d

    4.8/2=d/2=r=2.4

    10=h

    V=1/15 (10pi2.4^2)

    V=1/15 (10pi5.76)

    V=1/15 (57.6pi)

    V=3.84pi

    V=12.0637 cubic inches=20% of vase

    0.5 cubc inches per min

    0.5 times t=12.0637

    divide both sides by 0.5

    t=24.1237

    about 24 minutes
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