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A circle is traced along the circumference of a sphere at the center like a latitude. A dot is plotted at the center. The radius measures 2 centimeters.

Calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth.

(1 point)
cm3
Remaining Attempts : 3

1 answer

To calculate the volume of a sphere, you can use the formula:

\[ V = \frac{4}{3} \pi r^3 \]

where \( V \) is the volume, \( \pi \) is approximately 3.14, and \( r \) is the radius of the sphere.

Given that the radius \( r = 2 \) cm, we can substitute it into the formula:

\[ V = \frac{4}{3} \times 3.14 \times (2)^3 \]

Calculating \( (2)^3 \):

\[ (2)^3 = 8 \]

Now substituting this back into the formula:

\[ V = \frac{4}{3} \times 3.14 \times 8 \]

Calculating \( \frac{4}{3} \times 8 \):

\[ \frac{4}{3} \times 8 = \frac{32}{3} \approx 10.67 \]

Now multiply by \( 3.14 \):

\[ V \approx 10.67 \times 3.14 \approx 33.4788 \]

Rounding to the nearest tenth:

\[ V \approx 33.5 \text{ cm}^3 \]

Thus, the volume of the sphere is 33.5 cm³.