Answer:
D) The volume of the second cylinder is 27 times that of the first cylinder
Step-by-step explanation:
Let r, h and V represent the radius, height and volume of the cylinder.
When the dimensions are tripled, 3r, 3h and V1 represent the radius, height and volume of the cylinder.
We want to find the relationship between V and V1
Volume of a cylinder:
V = πr^2 h
When tripled;
V1 = π(3r)^2 × 3h = π(9r^2)×3h
V1 = 27πr^2 h
So,
V1/V = (27πr^2 h)/(πr^2 h)
V1/V = 27
Therefore, when the dimensions are tripled the volume is 27 times.
The volume of the second cylinder is 27 times that of the first cylinder
