The cylindrical container

The container has a cylindrical shape the base diameter 0.8 meters has a content area of the base is equal to the content area of the shell. How many full liters of water can be poured maximally into the container?

Correct answer:

x =  100 l

Step-by-step explanation:

$$\begin{gathered} D=0.8m \\ r=D\mathrm{/}2=0.4m=4dm \\ {S}_1=S_2 \\ \pi r^2=2\pi rh \\ r=2h \\ h=r\mathrm{/}2=2dm \\ V=\pi r^{2}h=\pi 4^2\cdot 2=100\text{ l} \end{gathered}$$

Try another example

Related math problems and questions:

• 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?
• Tank and water
  We poured a cylindrical tank with 3.5 liters of water. If the tank base diameter is 3 dm, how height is the water level in?
• Cylinder container
  The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
• Shell of cylinder
  Calculate the content of shell the 1.6 m height cylinder with a base radius of 0.4 m.
• Cylinder
  The 1.8m cylinder contains 2000 liters of water. What area (in dm²) of this container is the water?
• Cylindrical tank
  9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?
• Liters in cylinder
  Determine the height at which level 24 liters of water in a cylindrical container having a bottom diameter 36 cm.
• Collect rain water
  The garden water tank has a cylindrical shape with a diameter of 80 cm and a height of 12 dm. How many liters of water will fit into the tank?
• Tin with oil
  Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. Canned surface is 1884 cm². Calculate how many liters of oil is in the tin.
• Cylinder
  Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter.
• Water overflow
  A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows. How many liters of water over
• The cylindrical container
  The cylindrical container has a base area of 300 cm³ and a height of 10 cm. It is 90% filled with water. We gradually insert metal balls into the water, each with a volume of 20 cm³. After inserting how many balls for the first time does water flow over
• Cylindrical container
  An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container.
• The well
  The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters and the depth of water in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water is in the well?
• Height as diameter of base
  The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder.
• Cylindrical tank
  Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
• Water
  Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?