[
  {
    "Question": "What is the formula for the volume of a cone?",
    "Answer": "A",
    "Explanation": "The volume of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Cone_volume.svg/1200px-Cone_volume.svg.png",
    "OptionA": "V = (1/3)πr²h",
    "OptionB": "V = πr²h",
    "OptionC": "V = 2πrh",
    "OptionD": "V = (1/2)πr²h",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume of Cones",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "geometry/volume/cones"
  },
  {
    "Question": "What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?",
    "Answer": "B",
    "Explanation": "The volume of a cylinder is calculated using the formula V = πr²h. Substituting r = 3 cm and h = 5 cm gives V = π(3)²(5) = 45π cm³, approximately 141.37 cm³.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Cylinder_volume.svg/1200px-Cylinder_volume.svg.png",
    "OptionA": "30π cm³",
    "OptionB": "45π cm³",
    "OptionC": "60π cm³",
    "OptionD": "75π cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume of Cylinders",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "geometry/volume/cylinders"
  },
  {
    "Question": "How do you calculate the volume of a sphere?",
    "Answer": "C",
    "Explanation": "The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius of the sphere.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Sphere_volume.svg/1200px-Sphere_volume.svg.png",
    "OptionA": "V = 2πr³",
    "OptionB": "V = πr²h",
    "OptionC": "V = (4/3)πr³",
    "OptionD": "V = (1/3)πr²h",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume of Spheres",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "geometry/volume/spheres"
  },
  {
    "Question": "If a cone has a radius of 4 cm and a height of 9 cm, what is its volume?",
    "Answer": "A",
    "Explanation": "Using the formula V = (1/3)πr²h, we substitute r = 4 cm and h = 9 cm: V = (1/3)π(4)²(9) = 48π cm³, approximately 150.8 cm³.",
    "PictureURL": "",
    "OptionA": "48π cm³",
    "OptionB": "36π cm³",
    "OptionC": "72π cm³",
    "OptionD": "60π cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Calculation of Cone",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "geometry/volume/cones"
  },
  {
    "Question": "What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?",
    "Answer": "B",
    "Explanation": "First, find the radius: diameter = 10 cm, so radius r = 5 cm. Then use V = πr²h: V = π(5)²(7) = 175π cm³, approximately 549.78 cm³.",
    "PictureURL": "",
    "OptionA": "50π cm³",
    "OptionB": "175π cm³",
    "OptionC": "100π cm³",
    "OptionD": "200π cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Calculation of Cylinder",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "geometry/volume/cylinders"
  },
  {
    "Question": "A sphere has a radius of 6 cm. What is its volume?",
    "Answer": "C",
    "Explanation": "Using the formula V = (4/3)πr³, we substitute r = 6 cm: V = (4/3)π(6)³ = 144π cm³, approximately 452.39 cm³.",
    "PictureURL": "",
    "OptionA": "72π cm³",
    "OptionB": "108π cm³",
    "OptionC": "144π cm³",
    "OptionD": "216π cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Calculation of Sphere",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "geometry/volume/spheres"
  },
  {
    "Question": "Which of the following shapes has the largest volume for the same height?",
    "Answer": "D",
    "Explanation": "For the same height, a sphere has the largest volume compared to a cone and a cylinder due to its geometric properties.",
    "PictureURL": "",
    "OptionA": "Cone",
    "OptionB": "Cylinder",
    "OptionC": "Square Prism",
    "OptionD": "Sphere",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Comparison of Volumes",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "geometry/volume/comparison"
  },
  {
    "Question": "If a cone and a cylinder have the same base radius and height, how do their volumes compare?",
    "Answer": "B",
    "Explanation": "The volume of a cone is one-third that of a cylinder with the same base and height. Thus, the cylinder has three times the volume of the cone.",
    "PictureURL": "",
    "OptionA": "Cone has more volume",
    "OptionB": "Cylinder has three times the volume",
    "OptionC": "They have equal volume",
    "OptionD": "Cone has less volume",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Comparison Cone vs Cylinder",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "geometry/volume/comparison"
  },
  {
    "Question": "What is the volume of a cone with a base radius of 2 m and a height of 3 m?",
    "Answer": "A",
    "Explanation": "Using the formula V = (1/3)πr²h, we substitute r = 2 m and h = 3 m: V = (1/3)π(2)²(3) = 4π m³, approximately 12.57 m³.",
    "PictureURL": "",
    "OptionA": "4π m³",
    "OptionB": "6π m³",
    "OptionC": "8π m³",
    "OptionD": "10π m³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Calculation of Cone",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "geometry/volume/cones"
  },
  {
    "Question": "A cylinder has a radius of 4 inches and a height of 10 inches. What is its volume?",
    "Answer": "C",
    "Explanation": "Using the formula V = πr²h, we substitute r = 4 inches and h = 10 inches: V = π(4)²(10) = 160π in³, approximately 502.65 in³.",
    "PictureURL": "",
    "OptionA": "80π in³",
    "OptionB": "100π in³",
    "OptionC": "160π in³",
    "OptionD": "200π in³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Calculation of Cylinder",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "geometry/volume/cylinders"
  },
  {
    "Question": "What is the volume of a sphere with a diameter of 10 cm?",
    "Answer": "B",
    "Explanation": "First, find the radius: diameter = 10 cm, so radius r = 5 cm. Using the formula V = (4/3)πr³: V = (4/3)π(5)³ = (4/3)π(125) = (500/3)π cm³, approximately 523.6 cm³.",
    "PictureURL": "",
    "OptionA": "250π cm³",
    "OptionB": "(500/3)π cm³",
    "OptionC": "300π cm³",
    "OptionD": "400π cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Calculation of Sphere",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "geometry/volume/spheres"
  },
  {
    "Question": "Which shape has the smallest volume for the same height?",
    "Answer": "A",
    "Explanation": "For the same height, a cone has the smallest volume compared to a cylinder and a sphere due to its geometric properties.",
    "PictureURL": "",
    "OptionA": "Cone",
    "OptionB": "Cylinder",
    "OptionC": "Sphere",
    "OptionD": "Square Prism",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Comparison of Volumes",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "geometry/volume/comparison"
  },
  {
    "Question": "If a cone has a volume of 30 cm³ and a height of 5 cm, what is the radius of its base?",
    "Answer": "C",
    "Explanation": "Using the formula V = (1/3)πr²h, we can rearrange it to find r: r = sqrt((3V)/(πh)). Substituting V = 30 cm³ and h = 5 cm gives r = sqrt((3*30)/(π*5)) = sqrt(18/π) cm, approximately 2.4 cm.",
    "PictureURL": "",
    "OptionA": "1.5 cm",
    "OptionB": "2.0 cm",
    "OptionC": "2.4 cm",
    "OptionD": "3.0 cm",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Finding Radius from Volume",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "geometry/volume/cones"
  },
  {
    "Question": "What is the volume of a cylinder with a radius of 1 m and a height of 2 m?",
    "Answer": "A",
    "Explanation": "Using the formula V = πr²h, we substitute r = 1 m and h = 2 m: V = π(1)²(2) = 2π m³, approximately 6.28 m³.",
    "PictureURL": "",
    "OptionA": "2π m³",
    "OptionB": "3π m³",
    "OptionC": "4π m³",
    "OptionD": "5π m³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Calculation of Cylinder",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "geometry/volume/cylinders"
  },
  {
    "Question": "A sphere has a radius of 3 m. What is its volume?",
    "Answer": "B",
    "Explanation": "Using the formula V = (4/3)πr³, we substitute r = 3 m: V = (4/3)π(3)³ = 36π m³, approximately 113.1 m³.",
    "PictureURL": "",
    "OptionA": "24π m³",
    "OptionB": "36π m³",
    "OptionC": "48π m³",
    "OptionD": "60π m³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Volume Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume Calculation of Sphere",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "geometry/volume/spheres"
  }
]