Respuesta :
Answer:
774 cubic feet of water is remaining in the tank
Step-by-step explanation:
In this question, we are asked to calculate the remaining volume in cylindrical tank given that someone consumed 1/7 of its capacity.
Firstly, we need to calculate the capacity in terms of volume of the cylindrical tank.
Since it is a cylinder, we will use the volume of a cylinder.
Mathematically, volume of a cylinder V ;
V = pi * r^2 * h
Where h represents height; 9.5 feet in this case
radius r is diameter d/2 ; we were made to know that diameter of the tank is 1.5 feet longer than the tank. This means the diameter of the tank will be 9.5 + 1.5 = 11 feet. The radius of the tank is thus 11/2 = 5.5 feet
The volume V is thus;
V= 22/7 * 5.5^2 * 9.5
V = 903 cubic feet approximately
Since 1/7 of the tank is consumed, what will remain will be 6/7
This means what is remaking will be 6/7 * 903 = 774 cubic feet
