Question

um cilindro reto tem 12cm de altura e 192 tt cm 3 de volume, determine a medida do diâmetro da base
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Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Volume~do~Cilindro}\\\sf V=\pi\cdot r^2\cdot h\\\sf r\longrightarrow raio\\\sf h\longrightarrow altura\\\tt dados\begin{cases}\sf V=192\pi~cm^3\\\sf h=12~cm\\\sf d=?\end{cases}\\\underline{\rm soluc_{\!\!,}\tilde ao\!:}\\\sf V=\pi\cdot r^2\cdot h\\\sf 192\backslash\!\!\!\pi=\backslash\!\!\!\pi\cdot r^2\cdot12\\\sf r^2=\dfrac{192}{12}\\\\\sf r^2=16\\\sf r=\sqrt{16}\\\sf r=4~cm\\\sf d=2r\\\sf d=2\cdot4\\\huge\boxed{\boxed{\boxed{\boxed{\sf d=8~cm}}}}\end{array}}$