Garden pond

Concrete garden pond has bottom shape of a semicircle with a diameter 1.7 m and is 79 cm deep. Daddy wants make it surface. How many liters of water is in pond if watel level is 28 cm?

Correct result:

V =  317.77 l

Solution:

$V = \dfrac12 \pi r^2 h = \dfrac12 \pi (D/2)^2 h \ \\ V= \dfrac12 \pi (1.7/2\cdot 10)^2 \cdot (28/10) = 317.77 \ \text{l}$

Try another example

Showing 0 comments:

Next similar math problems:

• Garden pool
  Mr. Novak fill garden pool (cylinder; diameter of 200 cm) with 31.4 hl of water. What is the depth of the pool when the water level is 10 cm below the upper edge of the pool?
• Conva
  How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm?
• Total displacement
  Calculate total displacement of the 4-cylinder engine with the diameter of the piston bore B = 6.6 cm and stroke S=2.4 cm of the piston. Help: the crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and back t
• Gas sphere
  The gas tank has the shape of a sphere with a diameter of 14 m. How many m³ of gas will fit in it?
• Container
  The container has a cylindrical shape the base diameter 0.8 m and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container?
• Water level
  How high reaches the water in the cylindrical barell with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
• Diameter of a cylinder
  I need to calculate the cylinder volume with a height of 50 cm and a diameter of 30 cm.
• Rain
  How many mm of water rained the roof space 75 m² if the empty barrel with a radius of 8 dm and height 1.2 m filled to 75% its capacity? :-)
• Giant coin
  From coinage metal was produced giant coin and was applied so much metal, such as production of 10 million actual coins. What has this giant coin diameter and thickness, if the ratio of diameter to thickness is the same as a real coin, which has a diamete
• Cylindrical tank
  Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
• Sportsman
  A trained athlete is able to exhale after a deep breath still 500 ml of air. At normal inhalation and exhalation is breathing 500 ml of air. Within one minute, one breath and exhaled 14 times. What part of breathing air per day is one exhalation?
• Water well
  Drilled well has a depth 20 meters and 0.1 meters radius. How many liters of water can fit into the well?
• The largest
  The largest possible cylinder was cut from a 20 cm cube. What is the volume of this cylinder?
• Common cylinder
  I've quite common example of a rotary cylinder. Known: S1 = 1 m², r = 0.1 m Calculate : v =? V =? You can verify the results?
• Cylinder surface area
  Volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area.
• A pipe
  A radius of a cylindrical pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
• Circular pool
  The 3.6-meter pool has a depth of 90 cm. How many liters of water is in the pool?