Two different cylinders have the same
volume. Cylinder 1 has a radius of 3 feet
and a height of 24 feet. Cylinder 2 has a
radius of 6 feet. What is the height of
Cylinder 2?
3

Respuesta :

Given:

Two different cylinders have the same volume.

To find:

The height of the cylinder 2

Solution:

Volume of the cylinder 1:

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {3}^{2} \times 24[/tex]

[tex]v = 678.58401 \: {ft}^{3} [/tex]

[tex]v = 678.58 \: {ft}^{3} (2 \: d.p)[/tex]

Height of the cylinder 2:

[tex]h = \frac{v}{\pi {r}^{2} } [/tex]

[tex]h = \frac{687.58}{\pi \times {6}^{2} } [/tex]

[tex]h= 5 .99996 \: ft[/tex]

[tex]\huge\boxed{\sf{h=6 \: ft}}[/tex]

Hence, the height of the cylinder 2 is 6 feet.

The answer to your question is 6 feet.

hope this helps