Question

find two different combinations of radius and height that produce two cylinders with nearly the same volume. Record the dimensions and volumes of the two cylinders below.

Answer 1

Answer:

ANSWER option 1:

cylinder 1          r=12    and    h=6       v= 864

cylinder             r=6    and    h=24       v= 864

ANSWER option 2:

These radius and height values will produce the same volume:

radius = 6 units and height = 18 units

radius = 9 units and height = 8 units

Step-by-step explanation:

(Both options above are correct)

1st option I got that answer right on edmentum

2nd option is the sample answer given on edmentum

Answer 2

Answer:

For $C_1$, r = 2 units and h =  1 unit

For $C_2$, r = 1 unit and h = 4 units

Step-by-step explanation:

Given: cylinders

To find: two different combinations of radius and height that produce two cylinders with nearly the same volume

Solution:

Let $C_1,C_2$ represents two cylinders.

For cylinder $C_1$:

Radius (r) = 2 units

Height (h) = 1 unit

Volume of cylinder = $\pi r^2 h=\pi (2)^2(1)=4 \pi$ cubic units

For cylinder $C_2$:

Radius (r) = 1 unit

Height (h) = 4 units

Volume of cylinder = $\pi r^2 h=\pi (1)^2(4)=4 \pi$ cubic units

Therefore,

cylinders $C_1,C_2$ have same volume.