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 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

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

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

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

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.