Respuesta :

Answer:

Explanations:

The formula for calculating the surface area of a sphere is given as:

[tex]SA=4\pi r^2[/tex]

Determine the radius of the sphere given the Circumference 4cm. Recall that;

[tex]\begin{gathered} C=4cm \\ 2\pi r=4 \\ r=\frac{4}{2\pi} \\ \end{gathered}[/tex]

Substitute the resulting radius into the sphere's surface area

[tex]\begin{gathered} SA=4\pi\cdot(\frac{4}{2\pi})^2 \\ SA=4\pi\cdot\frac{16}{4\pi^2} \\ SA=\frac{16}{\pi} \\ SA=\frac{16}{3.14} \\ SA=5.096\approx5cm^2 \end{gathered}[/tex]

Hence the surface area of the spherical object is 5 squar