Advertisements
Advertisements
Question
A swimming pool is 200 m by 50 m and has an average depth of 2 m. By the end of a summer day, the water level drops by 2 cm. How many cubic metres of water is lost on the day?
Advertisements
Solution
Dimensions of swimming pool are 200 m × 50 m.
Average depth of the swimming pool = 2 m
At the end of summer day the water level drops by 2 cm.
∴ Volume of water in swimming pool = Length × Breadth × Depth
= 200 × 50 × 2
= 20000 m3
If water level drops by 2 cm, it means new level of water
= `(2 - 2/100)m` ...`[∵ 1 cm = 1/100 m]`
= 1.98 m
Volume of water after summer day = 200 × 50 × 1.98
= 19800 m3
So, water in cubic metres was lost on that day
= Initial volume – Volume after summer day
= 20000 – 19800
= 200 m3
APPEARS IN
RELATED QUESTIONS
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that
`V^2` = `xyz`
If the area of three adjacent faces of a cuboid are 8 `cm^2`, 18 `cm^3` and 25 `cm^3`. Find the
volume of the cuboid.
The breadth of a room is twice its height, one half of its length and the volume of the room is 512cu. m. Find its dimensions.
A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, find the volume of water already used from the tank.
The surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is ______.
Ramesh has three containers.
- Cylindrical container A having radius r and height h,
- Cylindrical container B having radius 2r and height 1/2 h, and
- Cuboidal container C having dimensions r × r × h
The arrangement of the containers in the increasing order of their volumes is
A truck carrying 7.8 m3 concrete arrives at a job site. A platform of width 5 m and height 2 m is being contructed at the site. Find the length of the platform, constructed from the amount of concrete on the truck?
