7. A drum of diameter 13 m and depth 35 m is half-filled with water. Find the volume of water inside the drum.
Answers
Answer:
2323.75ft³
Step-by-step explanation:
The depth is h=35 ft. Amount of water contained= ft³. Amount of water contained is 2323.75 ft³. Therefore, the volume of water inside the well is 2323.75 ft³.
Answer:
2321.6375 cubic ft
Step-by-step explanation:
The shape of a well is a cylinder. The diameter of this cylinder is given to be 13 ft, so the radius will be half of the diameter, that is 6.5 ft. We have to find the volume of the water inside the well and we know that the well is half filled. The height of the well is given to be 35 ft. So, the water is filled in the well upto half of the height of the well, that is 17.5 ft. To find the volume of water, we will use the formula for the volume of a cylinder.
The volume of a cylinder is given by,
V=πr2h
where r is the radius of the cylinder and h is the height of the cylinder. Since the water forms the shape of a cylinder inside the well, we will take the values of radius and height as follows, r=6.5 ft and h=17.5 ft. Substituting these values in the formula for volume of the cylinder, we get
V=3.14×(6.5)2×(17.5)
Simplifying the above equation, we get
V=3.14×42.25×17.5=2321.6375 ft3
Therefore, the volume of the water inside the well is 2321.6375 cubic ft.