math

posted by .

A fish tank is 50 cm long, 34 cm wide and 24 cm high. It contains water to depth of 18 cm. Four identical spheres are placed in the tank and are fully submerged. The water level rises by 4.5 cm.

1.What is the volume before the spheres were added?
2. What is the volume of each sphere?
3. What is the radius of the spheres?

  • math -

    Archimedes would have done it this way

    original volume
    = 50x34x18
    =30600

    change in volume
    = 50x34x4.5
    = 7650
    ---- caused by the two spheres

    so each sphere had a volume of 3825 cm^3

    V of sphere = (4/3)πr^3
    (4/3)πr^3 = 3825
    r^3 = 913.151..
    r = cuberoot(913.151...) = appr 9.70 cm

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geo

    George and phil were playing with their fish tank again. they had a difficult time keeping their fish tank is 100 cm long, 60 cm wide and 40 cm high. they tilted the tank resting on a 60 cm edge, with the water level reaching the midpoint …
  2. geo

    George and phil were playing with their fish tank again. they had a difficult time keeping their fish tank is 100 cm long, 60 cm wide and 40 cm high. they tilted the tank resting on a 60 cm edge, with the water level reaching the midpoint …
  3. math

    A rectangular tank of 5 m long,4 m wide and 5 m high is filled with water to a depth 3 m. If a robot of volume 20 cubic metre is added to the tank, how much will the water level rise?
  4. math

    A rectangular tank measures 30cm by 15 cm by 20 cm. It contains water to a depth of 15 cm. How many metal cubes of edge 5 cm need to be placed in the water to raise the water level to the brim of the tank?
  5. college

    A tank for storing water is conical in shape, with maximum radius 20 m and maxi­mum depth 15 m. The large, circular end of the tank points vertically upwards and is open to the air. It is known that the volume of water in the tank …
  6. math

    a rectangular tank,50cm long and 30cm wide,contains water upto a height of 9 cm.a box of dimensions 25cm,25cm,20cm is not placed in the tank so that its square faces rest on the bottom of the tank. the quantity of the water that must …
  7. maths

    a rectangular tank 30cm×20cm×12cm contains water to a depth of 6 cm.A metal cube of side 10 cm is placed in the tank with one face resting on the bottom of the tank.find the volume of the water in the litre must be poured in the …
  8. Pre-Calculus

    The base of the fish tank below has a length of 40 inches, a width of 20 inches, and height of 1.5 feet. The tank starts off with a water depth of 7 inches. You then add water to the tank at a constant rate such that the water level …
  9. Math grade 6

    3 rectangular metal blocks,8 cm long, 6 cm wide & 5 cm high, were placed in an empty rectangular glass tank.water was then poured in until it reached a height of 10 cm. Another 5 similar blocks were put into the water so that it reached …
  10. Math grade 6

    3rectangular metal blocks,8 cm long, 6 cm wide & 5 cm high, were placed in an empty rectangular glass tank.water was then poured in until it reached a height of 10 cm. Another 5 similar blocks were put into the water so that it reached …

More Similar Questions