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Part B Find the height of a cylinder with a volume of 36 pie cm^3 and a base with a radius of 3 cm. h = ???cm

Sagot :

The formula for determining the volume of a cylinder is expressed as

[tex]\begin{gathered} \text{Volume = pie }\times radius^2\times height \\ \end{gathered}[/tex]

We are given that

volume = 367

radius = 3

pie is a constant whose value is 3.14

Therefore

[tex]\begin{gathered} 36\times3.14\text{ = 3.14}\times3^2\times h \\ 113.04\text{ = 28.26h} \\ \text{Dividing both sides by h, it becomes} \\ \frac{28.26h}{28.26}=\frac{113.04}{28.26} \\ h=4 \end{gathered}[/tex]

The value of the height, h is 4 cm