Find the surface area and volume of the hemisphere FormulaSA = 3 * 3.14 * r^2V = 2/3 * 3.14 * r^3
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ANSWER
[tex]\begin{gathered} SA=98\pi ft^2 \\ V=228.7\pi ft^3 \end{gathered}[/tex]EXPLANATION
To find the surface area of the hemisphere, we apply the formula for the surface area of a hemisphere (without a base):
[tex]SA=2\cdot\pi\cdot r^2[/tex]where r = radius = 7 ft
Therefore, the surface area of the hemisphere is:
[tex]\begin{gathered} SA=2\cdot\pi\cdot7^2 \\ SA=98\pi ft^2 \end{gathered}[/tex]To find the volume of the hemisphere, we apply the formula for the volume of a hemisphere:
[tex]V=\frac{2}{3}\cdot\pi\cdot r^3[/tex]Therefore, the volume of the hemisphere is:
[tex]\begin{gathered} V=\frac{2}{3}\cdot\pi\cdot7^3 \\ V=228.7\pi ft^3 \end{gathered}[/tex]