Respuesta :

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]