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Which box will have more volume a cuboid or a cylinder of same height?
To determine which shape has more volume, we need to compare the volume formulas for both shapes. The volume of a cuboid is calculated as ( V = \text{length} \times \text{width} \times \text{height} ), while the volume of a cylinder is ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. If the base area of the cuboid is larger than the circular base area of the cylinder (which depends on the dimensions chosen), then the cuboid will have more volume. Conversely, if the circular base area of the cylinder is larger, then the cylinder will have more volume.
Cube and cuboid having the same volume?
Yes, that is possible.
Is the volume of a cylinder the same as the surface area of a cylinder?
no
What happens to the volume of a cuboid if one of its dimensions are doubled?
If one dimension of a cuboid is doubled while the other dimensions remain the same, the volume of the cuboid will also double. This is because the volume is calculated by multiplying the length, width, and height. Therefore, increasing one dimension by a factor of two results in the overall volume being multiplied by two.
How is the volume of a cone related to the volume of the cylinder with the same radius and height?
The cone has 1/3 of the volume of the cylinder.
Can a cylinder have the same volume as a cuboid?
Yes.
Which box will have more volume a cuboid or a cylinder of same height?
To determine which shape has more volume, we need to compare the volume formulas for both shapes. The volume of a cuboid is calculated as ( V = \text{length} \times \text{width} \times \text{height} ), while the volume of a cylinder is ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. If the base area of the cuboid is larger than the circular base area of the cylinder (which depends on the dimensions chosen), then the cuboid will have more volume. Conversely, if the circular base area of the cylinder is larger, then the cylinder will have more volume.
Cube and cuboid having the same volume?
Yes, that is possible.
Is the volume of a cylinder the same as the surface area of a cylinder?
no
What happens to the volume of a cuboid if one of its dimensions are doubled?
If one dimension of a cuboid is doubled while the other dimensions remain the same, the volume of the cuboid will also double. This is because the volume is calculated by multiplying the length, width, and height. Therefore, increasing one dimension by a factor of two results in the overall volume being multiplied by two.
The volume of a cone compared to the volume of a cylinder?
If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.
How is the volume of a cone and a cylinder related?
The volume of a cone is 1/3 of the volume of a cylinder with the same radius and height
How is the volume of a cone related to the volume of the cylinder with the same radius and height?
The cone has 1/3 of the volume of the cylinder.
What is the formula of a volume of a can?
Same as a cylinder
What is the ratio of the volume of a cylinder to the volume of a cylinder having the same height but twice the radius?
1 to 4
What is the formula for finding the capacity of a cuboid?
The capacity (or volume) of a cuboid can be calculated using the formula: ( V = l \times w \times h ), where ( V ) is the volume, ( l ) is the length, ( w ) is the width, and ( h ) is the height of the cuboid. All dimensions should be in the same unit for the volume to be accurate. The resulting volume will be in cubic units, depending on the units used for length, width, and height.
Is swept volume the same as displacement volume of a cylinder?
Yes, that is correct
