Answered

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A can of soda can be modeled as a right cylinder. Santiago measures its radius as 2.1 cm and volume as 129 cubic centimeters. Find the height of the can in centimeters. Round your answer to the nearest tenth if necessary.

A Can Of Soda Can Be Modeled As A Right Cylinder Santiago Measures Its Radius As 21 Cm And Volume As 129 Cubic Centimeters Find The Height Of The Can In Centime class=

Sagot :

Answer

9.3cm

Explanations:

The formula for calculating the volume of a cylinder is expressed as:

[tex]V=\pi r^2h[/tex]

where:

r is the radius

h is the height

Given the following parameters

[tex]\begin{gathered} 129=3.14\times2.1^2\times h \\ 129=13.85h \\ h=\frac{129}{13.85} \\ h\approx9.3cm \end{gathered}[/tex]

Therefore the height of the can to the nearest tenth is 9.3cm

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