Respuesta :

The Solution.

By formula, the surface area of the given figure is

[tex]S.A=4\pi r^2[/tex][tex]\begin{gathered} SA=\text{surface area}=\text{?} \\ r=7\text{ inches} \\ \pi=3.14 \end{gathered}[/tex][tex]S\mathrm{}A=4\times3.14\times7^2=4\times3.14\times49=615.44\approx615.4inches^2[/tex]

b. By formula, the volume of the given figure is

[tex]V=\frac{4\pi r^3}{3}[/tex]

Where,

[tex]r=7\text{ inches,}\pi=3.14,V=volume=?[/tex]

Substituting the values in the formula, we have

[tex]V=\frac{4\times3.14\times7^3}{3}=\frac{4\times3.14\times343}{3}=\frac{4308.08}{3}[/tex][tex]V=1436.0267\approx1436.0inches^3[/tex]

Hence, the correct answers are:

a. Surface area = 615.4 square inches

b. Volume = 1436.0 cubic squ