cm and the diameters of two balls be cm, find the diameter of the third 2 A measuring jar of internal diameter 10 cm is

Question

cm and
the diameters of two balls be
cm, find the diameter of the third
2
A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical
balls of diameter 2 cm each are dropped in it and they sink down in water completely. What
will be the change in the level of water in the jar ?
I need solutions fast ​

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Amara 3 weeks 2021-10-04T15:23:03+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-04T15:24:08+00:00

    Answer:

    Yo you are a pro

    Step-by-step explanation:

    0
    2021-10-04T15:24:32+00:00

    Question :

    A measuring jar of internal diameter 10 cm is partially filled with water. Four equal sphericalballs of diameter 2 cm each are dropped in it and they sink down in water completely. Whatwill be the change in the level of water in the jar ?

    Answer :

    Using Capital letters for Cylindrical Jug;

    D = 10cm ; R = 5cm

    and let the level of water is at H height

    r = 2cm

    Since 4 similar spherical balls are dropped

    so,

    Volume of 4 spherical balls =

    4 \times  \frac{4}{3} \pi {r}^{3}

     = 4 \times  \frac{4}{3}  \times  {5}^{3}

     =  \frac{16}{3}  \times 125\pi

     = \frac{2000}{3} \pi  \:  \: {cm}^{3}

    So, the increase in the volume of jug =

     =  \frac{2000}{3} \pi

    Let the increase in level be “h” cm

    Now,

    increase in volume = {\pi{R}^2h}

     \frac{2000}{3} \pi = \pi {R}^{2} h

    Cancel π from both sides

    \frac{2000}{3}={5}^{2}×h

    \frac{2000}{3×25}=h

     h=\frac{80}{3}cm

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