Question

2. Determine a área lateral, área da base, área total e o volume de um cilindro reto cujo raio da base mede 10 cm e a altura 25 cm.

Answer 1

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$\boxed{\sf{\underline{\acute Area~lateral~do~cilindro}}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf A_\ell=2\pi r h}}}}\\\large\boxed{\sf{\underline{\acute Area~total~do~cilindro}}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf A_t=2\pi r(r+h)}}}}\\\large\boxed{\sf{\underline{Volume~do~cilindro}}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf V=\pi r^2 h}}}}$

$\tt c\acute alculo~da~\acute area~lateral:\\\sf A_\ell=2\cdot\pi\cdot10\cdot25\\\huge\boxed{\boxed{\boxed{\boxed{\sf A_\ell=500\pi~cm^2}}}}\\\tt c\acute alculo~da~\acute area~da~base:\\\sf A_B=\pi\cdot10^2\\\huge\boxed{\boxed{\boxed{\boxed{\sf A_B=100\pi~cm^2}}}}\\\tt c\acute alculo~da~\acute area~total:\\\sf A_t=2\pi\cdot10(10+25)\\\sf A_t=2\pi\cdot10\cdot35\\\huge\boxed{\boxed{\boxed{\boxed{\sf A_t=700\pi~cm^2}}}}$

$\tt c\acute alculo~do~volume:\\\sf V=\pi\cdot10^2\cdot25\\\huge\boxed{\boxed{\boxed{\boxed{\sf V=2500\pi~cm^3}}}}$