Question

uma lata em forma de cilindro tem altura 10cm a um raio de 5cm calcule área da base área lateral área total em volume ​​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm \acute Area\,lateral\,do\,cilindro}\\\sf A_l=2\pi rh\\\underline{\rm \acute Area\,total\,do\,cilindro}\\\sf A_t=2\pi r(h+r)\\\underline{\rm Volume\,do\,cilindro}\\\sf V=\pi r^2h\end{array}}$

$\large\boxed{\begin{array}{l}\tt dados\begin{cases}\sf h=10\,cm\\\sf r=5\,cm\end{cases}\\\underline{\rm \acute Area\,lateral:}\\\sf A_l=2\pi rh\\\sf A_l=2\cdot\pi\cdot5\cdot10\\\sf A_l=100\pi\,cm^2\\\underline{\rm \acute Area\,total:}\\\sf A_t=2\pi r(h+r)\\\sf A_t=2\cdot\pi\cdot 5(10+5)\\\sf A_t=10\pi\cdot 15\\\sf A_t=150\pi\,cm^2\\\underline{\rm Volume:}\\\sf V=\pi r^2h\\\sf V=\pi\cdot 5^2\cdot10\\\sf V=\pi\cdot25\cdot10\\\sf V=250\pi\,cm^3\end{array}}$

$\large\boxed{\begin{array}{l}\underline{\rm \acute Area\,da\,base}\\\sf A_b=\pi\cdot r^2\\\sf A_b=\pi\cdot5^2\\\sf A_b=25\pi\,cm^2\end{array}}$