5. How many cubic feet of soil would be
   required to cover a circular garden with a
   diameter of 8 feet if the soil needs to be 0.5
   feet deep (use )?
   (A)
   (B)
   ©
   (D)
   (E)

To find the volume of soil required to cover the garden, we first calculate the area of the circular garden using the formula . The radius is half of the diameter, so feet. Plugging the values in, we get:

Now, to find the volume, we multiply the area by the depth of the soil:

Therefore, the answer is © .

Calculating area and volume can sometimes be mind-bending, so it’s handy to remember your formulas! Whenever you’re working with circular dimensions, the key is to always convert the diameter to a radius first, as many calculations rely on that radius. It’s like getting the best seat at the movies – you can’t sit through the film without knowing where to sit!

For those curious about spheres, gardens, or any other circular wonders, ponder this: if you expand that garden into a three-dimensional dome and wanted to fill it with soil, you’d need to explore volumes of spheres and hemispheres! There’s a whole world of geometric shapes out there just waiting to be explored.