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Questions and Answers
What happens to the volume of a cylinder when both the radius and height are multiplied by a factor of k?
What happens to the volume of a cylinder when both the radius and height are multiplied by a factor of k?
- The volume is multiplied by $k^3$ (correct)
- The volume remains the same
- The volume is multiplied by $k^2$
- The volume is multiplied by $k^4$
If the height of a cylinder is increased by a factor of k, how is the surface area affected?
If the height of a cylinder is increased by a factor of k, how is the surface area affected?
- The surface area is multiplied by $k$ (correct)
- The surface area is multiplied by $k^3$
- The surface area is multiplied by $k^2$
- The surface area remains unchanged
When the radius of a cylinder is multiplied by a factor of k, how does the surface area change?
When the radius of a cylinder is multiplied by a factor of k, how does the surface area change?
- The surface area decreases by a factor of $k^2$
- The surface area increases by a factor of $k$
- The surface area remains the same
- The surface area increases by a factor of $k^2$ (correct)
If the radius of a cylinder is doubled, how does the volume change?
If the radius of a cylinder is doubled, how does the volume change?
What is the relationship between the change in radius and the change in volume for a cylinder?
What is the relationship between the change in radius and the change in volume for a cylinder?
When both the radius and height of a cylinder are multiplied by k, how does the surface area change in comparison to the volume?
When both the radius and height of a cylinder are multiplied by k, how does the surface area change in comparison to the volume?
What is the effect on the volume of a rectangular prism when one dimension is multiplied by a factor of 5?
What is the effect on the volume of a rectangular prism when one dimension is multiplied by a factor of 5?
How is the surface area affected when two dimensions of a rectangular prism are multiplied by a factor of 5?
How is the surface area affected when two dimensions of a rectangular prism are multiplied by a factor of 5?
What is the formula for the volume of a rectangular prism when all dimensions are multiplied by a factor of k?
What is the formula for the volume of a rectangular prism when all dimensions are multiplied by a factor of k?
If the original surface area of a rectangular prism is A, what will the new surface area be when all dimensions are multiplied by k?
If the original surface area of a rectangular prism is A, what will the new surface area be when all dimensions are multiplied by k?
Which of the following statements correctly describes the change in volume and surface area when one dimension is multiplied by k?
Which of the following statements correctly describes the change in volume and surface area when one dimension is multiplied by k?
What volume change occurs when all three dimensions of a rectangular prism are multiplied by a factor of 5?
What volume change occurs when all three dimensions of a rectangular prism are multiplied by a factor of 5?
What happens to the surface area when both dimensions of a rectangular prism are multiplied by 2?
What happens to the surface area when both dimensions of a rectangular prism are multiplied by 2?
Which of these correctly describes how the volume and surface area change when all dimensions are multiplied by a factor of k?
Which of these correctly describes how the volume and surface area change when all dimensions are multiplied by a factor of k?
What is the effect on the volume of a cylinder when the radius is multiplied by 3?
What is the effect on the volume of a cylinder when the radius is multiplied by 3?
How does the surface area of a cylinder change when the height is doubled?
How does the surface area of a cylinder change when the height is doubled?
If the radius of a cylinder is tripled, what is the new surface area in relation to the original surface area?
If the radius of a cylinder is tripled, what is the new surface area in relation to the original surface area?
When the radius of a cylinder is multiplied by k, how is the effect on volume described?
When the radius of a cylinder is multiplied by k, how is the effect on volume described?
What happens to the volume of a cylinder when both the radius and height are multiplied by k?
What happens to the volume of a cylinder when both the radius and height are multiplied by k?
How does the surface area change if only the height of a cylinder is multiplied by k?
How does the surface area change if only the height of a cylinder is multiplied by k?
What happens to the volume of a rectangular prism when its height is multiplied by a factor of 5?
What happens to the volume of a rectangular prism when its height is multiplied by a factor of 5?
How is the surface area affected when all three dimensions of a rectangular prism are multiplied by a factor of k?
How is the surface area affected when all three dimensions of a rectangular prism are multiplied by a factor of k?
If the original volume of a rectangular prism is V, what is the new volume after multiplying all dimensions by 3?
If the original volume of a rectangular prism is V, what is the new volume after multiplying all dimensions by 3?
When two dimensions of a rectangular prism are multiplied by a factor of k, what is the new volume in terms of the original volume V?
When two dimensions of a rectangular prism are multiplied by a factor of k, what is the new volume in terms of the original volume V?
What is the relationship between the factor applied to dimensions and the resulting volume of a rectangular prism?
What is the relationship between the factor applied to dimensions and the resulting volume of a rectangular prism?
If one dimension of a rectangular prism is doubled and the second dimension remains unchanged, how does the surface area change?
If one dimension of a rectangular prism is doubled and the second dimension remains unchanged, how does the surface area change?
What effect does multiplying all dimensions of a cylinder by a factor of k have on its volume?
What effect does multiplying all dimensions of a cylinder by a factor of k have on its volume?
Which statement correctly describes the change in volume when only the height of a prism is multiplied by a factor of k?
Which statement correctly describes the change in volume when only the height of a prism is multiplied by a factor of k?
What happens to the volume of a cylinder when the height is multiplied by a factor of k?
What happens to the volume of a cylinder when the height is multiplied by a factor of k?
When the radius of a cylinder is increased by a factor of k, how much does the surface area increase?
When the radius of a cylinder is increased by a factor of k, how much does the surface area increase?
If both the radius and height of a cylinder are multiplied by k, how does the volume change?
If both the radius and height of a cylinder are multiplied by k, how does the volume change?
What is the relationship between the change in radius and the surface area of a cylinder?
What is the relationship between the change in radius and the surface area of a cylinder?
When the height of a cylinder is multiplied by k and the radius remains unchanged, how does the surface area change?
When the height of a cylinder is multiplied by k and the radius remains unchanged, how does the surface area change?
How does the volume change when both the height and radius of a cylinder are multiplied by k?
How does the volume change when both the height and radius of a cylinder are multiplied by k?
What is the volume of a rectangular prism when all dimensions are multiplied by a factor of 3 if the original volume is V?
What is the volume of a rectangular prism when all dimensions are multiplied by a factor of 3 if the original volume is V?
How is the new surface area determined when one dimension of a prism is multiplied by 2?
How is the new surface area determined when one dimension of a prism is multiplied by 2?
What happens to the surface area of a rectangular prism if two dimensions are multiplied by 3 and one dimension remains unchanged?
What happens to the surface area of a rectangular prism if two dimensions are multiplied by 3 and one dimension remains unchanged?
If the surface area of a rectangular prism is represented as A, what will it be when one dimension is multiplied by k?
If the surface area of a rectangular prism is represented as A, what will it be when one dimension is multiplied by k?
What will be the new volume of a rectangular prism after each dimension is increased by a factor of 4?
What will be the new volume of a rectangular prism after each dimension is increased by a factor of 4?
When both height and breadth of a prism are multiplied by k while length remains unchanged, what is the relationship of the new volume V_k to the original volume V?
When both height and breadth of a prism are multiplied by k while length remains unchanged, what is the relationship of the new volume V_k to the original volume V?
If the volume of a cylinder is expressed as V and the height is increased by a factor of 2 while the radius is unchanged, what is the new volume in relation to the original volume?
If the volume of a cylinder is expressed as V and the height is increased by a factor of 2 while the radius is unchanged, what is the new volume in relation to the original volume?
What happens to the surface area of a rectangular prism if all dimensions are multiplied by a factor of k?
What happens to the surface area of a rectangular prism if all dimensions are multiplied by a factor of k?
What happens to the volume of a cylinder when the height is multiplied by a factor of k?
What happens to the volume of a cylinder when the height is multiplied by a factor of k?
If the radius of a cylinder is increased by a factor of k, how does the surface area change?
If the radius of a cylinder is increased by a factor of k, how does the surface area change?
When both the radius and height of a cylinder are multiplied by k, how is the change in volume described?
When both the radius and height of a cylinder are multiplied by k, how is the change in volume described?
What effect does multiplying only the height of a cylinder by k have on its surface area?
What effect does multiplying only the height of a cylinder by k have on its surface area?
If the original surface area of a cylinder is A, what will the new surface area be when the radius is doubled and the height remains unchanged?
If the original surface area of a cylinder is A, what will the new surface area be when the radius is doubled and the height remains unchanged?
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