# TV transmitter

The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have to be tall as a nearby TV transmitter and then filled to the edge. We add that if we wanted to float the distance the same as the transmitter height, we would have to spend either eight lengths or fifteen widths of the pool. How high is the TV transmitter?

Result

x =  216 m

#### Solution:

$abc = 699.84 \ \\ c^2 x = 699.84 \ \\ x = 8a \ \\ x = 15b \ \\ \ \\ c x^2/120 = 699.84 \ \\ c (699.84/c^2)^2/120 = 699.84 \ \\ c = \sqrt[3]{ 699.84/120 } = 1.8 \ m \ \\ x = 699.84/ c^2 = 216 \ \text{ m } \ \\ \ \\ a = x/8 = 27\ m \ \\ b = x/ 15 = 14.4 \ m \ \\$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you have a system of equations and looking for calculator system of linear equations?
Do you want to convert length units?
Tip: Our volume units converter will help you with the conversion of volume units.

## Next similar math problems:

1. Swimming pool
The swimming pool has the shape of a block with dimensions of 70dm, 25m, 200cm. How many hl of water can fit into the pool?
2. Cylinder
The 1.8m cylinder contains 2000 liters of water. What area (in dm2) of this container is the water?
3. Pouring alcohol
100 liters of alcohol has 70% How many liters of water need to be added to have 60% alcohol?
4. The wellbore
The wellbore has a tributary of 2 m3 per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters of water every se
5. Tributaries
The pool can be filled with two different tributaries. The first inflow would fill the pool in 18 hours, both in 6 hours. How many hours would the pool filled with a second inflow?
6. A filter
It is a pool with a volume of 3500 liters. The filter filters at 4m cubic per hour. How many minutes would it filter the entire pool?
7. Milk
There were 22 liters of milk in three containers. There was 6 liters more in the first container than in the second. After pouring 5 liters from the first container into the third container, the same quantity of milk is in the second and third container.
8. A plasticine
Jožko modeled from plasticine. He used 27g of plasticine to model a 3 cm long cube. How many grams of plasticine will it need to mold cubes with an edge of 6cm?
9. Axial section of the cone
The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2: 3. Calculate its volume if you know its area is 314 cm square.
10. Cone side
Calculate the volume and area of the cone whose height is 10 cm and the axial section of the cone has an angle of 30 degrees between height and the cone side.
11. Length of the edge
Find the length of the edge of a cube that has a cm2 surface and a volume in cm3 expressed by the same number.
12. A square base
A solid right pyramid has a square base. The length of the base edge is 4 centimeters and the height of the pyramid is 3 centimeters. What is the volume of the pyramid?
13. Octagonal pyramid
Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the plane of the base is α = 60°.
14. Tetrahedral pyramid
Determine the surface of a regular tetrahedral pyramid when its volume is V = 120 and the angle of the sidewall with the base plane is α = 42° 30´.
15. Uboid volume
Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²
16. Cube construction
A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
17. Two cylinders
Two cylinders are there one with oil and one with an empty oil cylinder has no fixed value assume infinitely. We are pumping out the oil into an empty cylinder having radius =1 cm height=3 cm rate of pumping oil is 9 cubic centimeters per sec and we are p