Question

Can you please help me determine the volume and surface area

Answer 1

a) The volume of a sphere can be calculated using this formula;

`V=(4)/(3)\pi r^3`

Where "r" is the radius of the sphere.

In this case you can identify that the diameter of the sphere is:

`d=12ft`

Since the radius is half the diameter:

`r=(12ft)/(2)=6ft`

Now you can substitute the radius into the formula and then evaluate, in order to find the volume. This is (rounded to the nearest hundredth):

`\begin{gathered} V=(4)/(3)\pi(6ft)^3 \\ \\ V\approx904.78ft^3 \end{gathered}`

b) The surface area of a sphere can be found using this formula:

`SA=4\pi r^2`

Where "r" is the radius.

Knowing the radius, you can substitute it into the formula and then evaluate. This is (rounded to the nearest hundredth):

`\begin{gathered} SA=4\pi(6ft)^2 \\ SA\approx452.39ft^2 \end{gathered}`

The answers are:

a)

`V\approx904.78ft^3`

b)

`SA\approx452.39ft^2`