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The diameter of the bottom surface of a cylinder and a cone is equal, and the height of the cone is 2 / 3 of that of the cylinder. If the volume of the cylinder is 54 cubic centimeters, calculate the volume of the cone
Because the diameters of the bottoms of the cylinder and cone are equal, so are the radii
The volume of cylinder: v = π R & # 178; H = 54
The volume of cone: V '= 1 / 3 π R & # 178; (2 / 3H) = 2 / 9 π R & # 178; H = 54 × 2 / 9 = 12 (CC)
The circumference of the bottom surface of a cylinder and a cone is equal. The volume of a cylinder is two thirds of that of a cone. The height of a cylinder is 2 cm. The height of a cone is?
Cylinder: v = π R ^ 2 * x
Cone: v = 1 / 3 π R ^ 2 * y
Because the perimeter of the base circle is equal, the radius is r
X = cylinder height
Y = cylinder height
According to the meaning: π R ^ 2 * x = (3 / 2) * (1 / 3 π R ^ 2 * y)
So y = 4cm
The height of a cylinder is equal to the diameter of its bottom. The circumference of its bottom is 6.28 cm. What is the volume and surface area of this cylinder
Less square centimeter
Diameter = 6.28 △ 3.14 = 2 cm
Radius = 2 △ 2 = 1cm
Height = 2 cm
Volume = 3.14 × 1 & # 178; × 2 = 6.28 cm3
Surface area = 3.14 × 1 & # 178; × 2 + 3.14 × 2 × 2 = 18.84 square centimeter
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