Answer:
The answer is four times as much ⇒ second answer
Step-by-step explanation:
* Lets think about this problem carefully
- The radius of this cylinder is doubled
- There is no change in the height of the cylinder
∵ The length of the radius is 3 inches
∴ The length of the radius after doubling = 3 × 2 = 6 inches
* Lets calculate the volume before doubling
∵ The volume of the cylinder = πr²h, where r the length of its
radius and h the length of its height
∴ V = π (3)² (10) = 90π inches³ ⇒ (1)
* Lets calculate the volume after doubling
∵ The length of the radius = 6
∴ V = π (6)² (10) = 360π inches³ ⇒ (2)
* Lets divide (2) by (1) to know the ratio between the old volume
and the new volume
∵ 360π/90π = 4
∴ The new volume is 4 times as much as the old volume
* The answer is four times as much
