Question:
A closed cylindrical tank contains 36(pie) cubic ft of water and is filled to half its capacity. When the tank is placed in its upright position on its circular base on level ground, the height of the water tank is 2 feet. When the tank is placed on its side on level ground, what is the height, in feet, on the surface of the water above the ground?
I need some clarification on this.
I understand the idea is to find the radius of the base, however, in order to find the correct radius you must know what the cylinder's volume is at full capacity correct? I thought the correct way to do this question would be to double what the volume was at half capacity from 36(pie) to 72(pie) for the full volume of the cylinder, as well as double the height of the water from 2 to 4, in order to find the correct measurement of the radius. So, the equation I used was as follows:
72(pie) = (pie)r^2 x 4
Only the official guide claims to just use the volume at half capacity, which was 36(pie), but wouldn't the volume of 36(pie) give you a inaccurate measurement of the radius because this is only half the volume capacity of the cylinder? Please help!
A closed cylindrical tank contains 36(pie) cubic ft of water and is filled to half its capacity. When the tank is placed in its upright position on its circular base on level ground, the height of the water tank is 2 feet. When the tank is placed on its side on level ground, what is the height, in feet, on the surface of the water above the ground?
I need some clarification on this.
I understand the idea is to find the radius of the base, however, in order to find the correct radius you must know what the cylinder's volume is at full capacity correct? I thought the correct way to do this question would be to double what the volume was at half capacity from 36(pie) to 72(pie) for the full volume of the cylinder, as well as double the height of the water from 2 to 4, in order to find the correct measurement of the radius. So, the equation I used was as follows:
72(pie) = (pie)r^2 x 4
Only the official guide claims to just use the volume at half capacity, which was 36(pie), but wouldn't the volume of 36(pie) give you a inaccurate measurement of the radius because this is only half the volume capacity of the cylinder? Please help!
