Question

A can of soda can be modeled as a right cylinder. Meena measures its radius as 2.6

Answer 1

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;

$h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}$

Therefore;

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

The height of the cylinder, h ≈ 9.3 cm

Learn more about the volume of regular solids here:

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