Answer:
A) The volume of the cylinder is 1017.9 in³.
B) The volume of the enlarged cylinder is 27,482.7 in³.
Step-by-step explanation:
What is the volume of the cylinder?
The radius of the cylinder is r = 6 in and the height is h = 9 in.
The volume of a cylinder can be found using the formula:
Substitute r = 6 and h = 9 into the formula.
- V = π(6)²(9)
- V = π(36)(9)
- V = π(324)
- V = 1017.876
The volume of the cylinder is 1017.876 in³.
What is the volume of the enlarged cylinder?
If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.
Therefore, we need to multiply the original volume by a factor of three cubed; 3³.
- V_enlarged = V · 3³
- V_enlarged = 1017.876 · 27 = 27482.652 in³
The volume of the enlarged cylinder is 27,482.652 in³.
