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A can of soda can be modeled as a right cylinder. Meena measures its radius as 2.6
cm and volume as 198 cubic centimeters. Find the height of the can in centimeters.
Round your answer to the nearest tenth if necessary.


Sagot :

Given that the radius and volume of the cylinder are 2.6 cm, and 198 cm³

respectively, the height of the cylinder is approximately 9.3 cm.

How can the height of the cylinder be calculated?

Known parameters;

The shape of the soda can = A right cylinder

Radius of the can, r = 2.6 cm

Volume of the can, V = 198 cm³

Required:

The height of the can

Solution:

The height, h, of the can is found as follows;

V = π·r²·h

Which gives;

[tex]h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}[/tex]

Therefore;

[tex]h = \dfrac{198 \, cm^3}{\pi \times (2.6 \, cm)^2} \approx \mathbf{9.3 \, cm}[/tex]

The height of the cylinder, h ≈ 9.3 cm

Learn more about the volume of regular solids here:

https://brainly.com/question/13338580

Answer:

8379.2

Step-by-step explanation:

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