The cylinder

The cylinder has a surface area of 300 square meters, while the height of the cylinder is 12 m. Calculate the volume of this cylinder.

Correct result:

V =  374.3807 m3


S=300 m2 h=12 cm  S=2pir2+2pirh  300=2 3.1415926 r2+2 3.1415926 r 12 6.2831852r275.398r+300=0 6.2831852r2+75.398r300=0  a=6.2831852;b=75.398;c=300 D=b24ac=75.398246.2831852(300)=13224.7141811 D>0  r1,2=b±D2a=75.4±13224.7112.5663704 r1,2=6±9.15131049315 r1=3.15131049315 r2=15.1513104931   Factored form of the equation:  6.2831852(r3.15131049315)(r+15.1513104931)=0  r=r1=3.15133.1513 S1=π r2=3.1416 3.1513231.1984 m2  V=S1 h=31.1984 12374.3807=374.3807 m3   Verifying Solution:  S2=2π r2+2π r h=2 3.1416 3.15132+2 3.1416 3.1513 12=300 S=S2

Our quadratic equation calculator calculates it.

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Showing 0 comments:

Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Tip: Our volume units converter will help you with the conversion of volume units.

Next similar math problems:

  • Shell area cy
    valec The cylinder has a shell content of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder.
  • Cylinder
    cylinder The cylinder surface is 922 dm2, its height is equal to the radius of the base. Calculate height of this cylinder.
  • Volume and surface
    image001(1) Calculate the volume and surface area of the cylinder when the cylinder height and base diameter is in a ratio of 3:4 and the area of the cylinder jacket is 24 dm2.
  • Diameter = height
    valec_1 The surface of the cylinder, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume.
  • The cylinder
    valec2 In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm2 and the volume V = 192 cm cubic. Calculate the radius and height of this 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.
  • Height as diameter of base
    valec_17 The rotary cylinder has a height equal to the base diameter and the surface of 471 cm2. Calculate the volume of a cylinder.
  • Hard cone problem
    kuzel The surface of the cone is 200cm², its height is 7 centimeters. Calculate the volume of this cone.
  • The ball
    sphere4 The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger?
  • Hexagonal prism 2
    hranol6b The regular hexagonal prism has a surface of 140 cm2 and height of 5 cm. Calculate its volume.
  • Surface of the cylinder
    valec_1 Calculate the surface of the cylinder for which the shell area is Spl = 20 cm2 and the height v = 3.5 cm
  • Truncated cone 3
    rotacnikomolykuzel The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56m and 42m, determine the height of the tang.
  • The cube
    cube_shield_1 The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.
  • Rotary cylinder
    valec_2 In the rotary cylinder it is given: surface S = 96 cm2 and volume V = 192 cm cubic. Calculate its radius and height.
  • The tent
    stan Calculate how much cover (without a floor) is used to make a tent that has the shape of a regular square pyramid. The edge of the base is 3 m long and the height of the tent is 2 m.
  • The cube
    cube_in_sphere The cube has a surface of 600 cm2, what is its volume?
  • Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.