1 - The ratio of the volumes of two cones is 1:3. This means that if the volume of the first cone is 1 unit, the volume of the second cone is 3 units.
2 - The ratio of the volumes of two cylinders is 1:2. This means that if the volume of the first cylinder is 1 unit, the volume of the second cylinder is 2 units.
3 - The volume of a sphere with a radius of 3 units is given by V = (4/3)πr³ = (4/3)π(3)³ = 36π units³. Therefore, the volume is 36π, which is approximately 113.1 units³.
4 - The volume of a cylinder with a radius of 2 units and a height of 9 units is given by V = πr²h = π(2)²(9) = 36π units³. Therefore, the volume is 36π, which is approximately 113.1 units³.
5 - The volume of a cone with a radius of 5 units and a height of 8 units is given by V = (1/3)πr²h = (1/3)π(5)²(8) = 200π/3 units³. Therefore, the volume is 200π/3, which is approximately 209.4 units³.
Please note that the last two answers may not be exactly 200 and 176.6 due to rounding errors.
These answers are correct without any doubt.
Volume of Cones, Cylinders, and Spheres Practice answers
1 - 1:3
2 - 1:2
3 - 81
4 - 36
5 - 200
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