Mathematics, 10.07.2019 07:00 gora2005
The formula below shows the relationship between the volume (v), in cubic centimeters, of a cylinder and the radius (r) and height (h), in centimeters, of the cylinder. v = πr2h the formula below shows the relationship between the diameter (d), in centimeters, of the circular base of the cylinder, and the radius, in centimeters, of the base. d=2r 1. express the volume of the cylinder in terms of its diameter and height.
Answers: 1
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ d=diameter\\[-0.5em] \hrulefill\\ d=2r\\ \frac{d}{2}=r \end{cases}\implies V=\pi \left( \cfrac{d}{2} \right)^2 h \\\\\\ V=\pi \left( \cfrac{d^2}{2^2} \right)h\implies V=\cfrac{\pi d^2 h}{4}](/tpl/images/0072/3829/60a20.png)
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The formula below shows the relationship between the volume (v), in cubic centimeters, of a cylinder...
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