# 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?

Correct result:

x =  216 m

#### Solution:

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

We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you!

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.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the diameter of the lower base d1 = 25 cm and with the diameter of the upper base d2 =
• From plasticine
Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone?
• Wooden bowls
20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm2. How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d
• Cuboid diagonals
The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals.
• Find the
Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm3 and a height of 45 cm.
The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.
• Surface of the cone
Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
• Volume of the cone
Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.
• The bulb
The bulb has a reading of 6V-0.05 A, what current flows through the bulb if we connect it to a cell with a voltage of 12V?
The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base
• Rhombus diagonals
In the rhombus ABCD are given the sizes of diagonals e = 24 cm; f = 10 cm. Calculate the side length of the diamond and the size of the angles, calculate the content of the diamond
• Find the
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, 2a
• Five circles
On the line segment CD = 6 there are 5 circles with radius one at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE
• Ten persons
Ten persons, each person makes a hand to each person. How many hands were given?
• Isosceles triangle
Calculate the area of an isosceles triangle, the base of which measures 16 cm and the arms 10 cm.
• Refractive index
The light passes through the interface between air and glass with a refractive index of 1.5. Find: (a) the angle of refraction if light strikes the interface from the air at an angle of 40°. (b) the angle of refraction when light strikes the glass interfa
• Ace or king
What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards?