The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m2 of stone is wetted with water?

Correct answer:

S =  13.6659 m2

Step-by-step explanation:

D=3 m h=70 cm m=70/100  m=0.7 m  r=D/2=3/2=32=1.5 m  S1=π r2=3.1416 1.527.0686 m2 S2=π D h=3.1416 3 0.76.5973 m2  S=S1+S2=7.0686+6.5973=13.6659 m2

Did you find an error or inaccuracy? Feel free to write us. Thank you!


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: video1

Related math problems and questions:

  • The hollow cylinder
    duty_valec The hollow cylinder has a height of 70 cm, an outer diameter of 180 cm, and an inner diameter of 120 cm. What is the surface of the body, including the area inside the cavity?
  • Garden pond
    half_circle_pool 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?
  • Diameter
    circles2 What is the inside diameter of the cylinder container and if half a liter of water reaches a height 15 cm?
  • The well
    studna 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?
  • Rotary cylinder
    Povrchy_a_objemy_telies The rotating cylinder has a surface area of 69.08 cm2. The area of the shell is 62.8 cm 2. What is the diameter of the cylinder?
  • Height as diameter of base
    valec The rotary cylinder has a height equal to the base diameter and a surface of 471 cm2. Calculate the volume of a cylinder.
  • Diameter of a cylinder
    cylinder_horiz The diameter of the cylinder is 42 cm. How many times does the cylinder turn on a 66m long track?
  • Stone
    kamen When Peter threw stone in a box of water he discovered that the water level has risen by 6 cm. The box has a cuboid shape, the bottom has dimensions of 24 cm and 14 cm, height is 40 cm. What volume has a stone?
  • Collect rain water
    valec2 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?
  • Water in aquarium
    akvarko The aquarium cuboid shape with a length of 25 cm and a width of 30 cm is 9 liters of water. Calculate the areas which are wetted with water.
  • What is
    valec What is the height of a cylinder whose surface size is 602.88 cm2 and the content of its shell is 376.8 cm2?
  • Cylinder horizontally
    CylindricalSegment The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the axis of the cylinder. How many hectoliters of water is in the cylinder?
  • Equilateral cylinder
    3d Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.
  • Sandbox
    sand How much m3 of sand is needed to fill the sandbox on the field, if it has the shape of a circle with a diameter of 3 m and is 25 cm deep?
  • Roller
    cestnyvalec Roller has a diameter of 0.96 m and a width 169 cm. How many m2 of road level when he turns 42-times?
  • Concrete pipe
    concrete_pipe Concrete pipe is cylindrical with an inner diameter 110 cm and outer 120 cm. Calculate the surface of the concrete pipe, if it is 9 m long.
  • Reservoir
    cylinder_Au 6 m long reservoir has a diameter of 2.2 m. What is its surface area in square meters?