Hello. Everyone. I am was doing some work and stumbled upon this.
Part (a): Given: an open rectangular fish tank with base 20 cm by 30 cm, currently containing 9,600 cm^3 of water.
i) State the number of litres of water in the tank.
ii) Calculate the depth of water in the tank.
iii) Calculate the total surface area of the tank which is in contact with the water.
iv) The water entered the tank through a circular pipe of radius 0.8 cm. It flowed through the pipe at 25 cm per second. How long did the 9,600 cm^3 of water take to enter the tank? (Give your answer to the nearest whole second.)
Part (b): Two hundred fifty identity spheres are placed in the bottom of the tank. Each sphere has a volume of 2.6 cm^3. [Recall that the volume V of a sphere with radius r is given by V = (4/3)(pi)(r^3).]
i) Calculate how much the water level in the tank will rise. (Give your answer in millimetres.)
ii) Calculate the radius of one of these spheres.
I seem to do it my way, but the answers is somewhat wrong.. Now I'm not sure of the answers is wrong or what? So please solve this problem for me. Its just the past A IV and B 1. Thanks I will highly appreciate any help .
Part (a): Given: an open rectangular fish tank with base 20 cm by 30 cm, currently containing 9,600 cm^3 of water.
i) State the number of litres of water in the tank.
ii) Calculate the depth of water in the tank.
iii) Calculate the total surface area of the tank which is in contact with the water.
iv) The water entered the tank through a circular pipe of radius 0.8 cm. It flowed through the pipe at 25 cm per second. How long did the 9,600 cm^3 of water take to enter the tank? (Give your answer to the nearest whole second.)
Part (b): Two hundred fifty identity spheres are placed in the bottom of the tank. Each sphere has a volume of 2.6 cm^3. [Recall that the volume V of a sphere with radius r is given by V = (4/3)(pi)(r^3).]
i) Calculate how much the water level in the tank will rise. (Give your answer in millimetres.)
ii) Calculate the radius of one of these spheres.
I seem to do it my way, but the answers is somewhat wrong.. Now I'm not sure of the answers is wrong or what? So please solve this problem for me. Its just the past A IV and B 1. Thanks I will highly appreciate any help .
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