Question

Find the surface area and volume of the hemisphere FormulaSA = 3 * 3.14 * r^2V = 2/3 * 3.14 * r^3

Answer 1

`\begin{gathered} SA=98\pi ft^2 \\ V=228.7\pi ft^3 \end{gathered}`

Step-by-step explanation

To find the surface area of the hemisphere, we apply the formula for the surface area of a hemisphere (without a base):

`SA=2\cdot\pi\cdot r^2`

where r = radius = 7 ft

Therefore, the surface area of the hemisphere is:

`\begin{gathered} SA=2\cdot\pi\cdot7^2 \\ SA=98\pi ft^2 \end{gathered}`

To find the volume of the hemisphere, we apply the formula for the volume of a hemisphere:

`V=(2)/(3)\cdot\pi\cdot r^3`

Therefore, the volume of the hemisphere is:

`\begin{gathered} V=(2)/(3)\cdot\pi\cdot7^3 \\ V=228.7\pi ft^3 \end{gathered}`