1 Answer

Rmcsharry · Answer 1 · 2023-08-11T01:28:02+0000

We must first find the area of the base, this base is a circle for it we use the equation of the area of a circle.

$A_C=\pi\cdot r^2$

Where the radius is 2 cm, now we replace and solve this area.

$\begin{gathered} A_C=\pi\cdot(2\operatorname{cm})^2 \\ A_C=4\pi cm^2 \\ A_C\cong12.56cm^2 \end{gathered}$

The base area is 12.56 square centimeters

Now we must find the volume of the cylinder with the same base already analyzed, to do this we use the equation for the volume of a cylinder.

$V_C=\pi\cdot r^2_{}\cdot h$

Where the radius is 2 cm and the height is 4 cm, now we replace and solve this volume.

$\begin{gathered} V_C=\pi\cdot r^2_{}\cdot h \\ V_C=\pi\cdot(2cm)^2_{}\cdot4\operatorname{cm} \\ V_C=16\pi cm^3 \\ V_C\cong50.26cm^3 \end{gathered}$

The volume is 50.26 cubic centimeters.

In conclusion, the base area and volume are:

$\begin{gathered} A_C\cong12.56cm^2 \\ V_C\cong50.26cm^3 \end{gathered}$

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