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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 3 centimeters.

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

(1 point)
Responses

75.4 cm3
75.4 cm cubed

113.0 cm3
113.0 cm cubed

37.7 cm3
37.7 cm cubed

904.3 cm3
904.3 cm cubed
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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 \( r = 3 \) cm, we can substitute the values into the formula:

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

First, calculate \( (3)^3 \):

\[ 3^3 = 27 \]

Now, substitute this back into the volume formula:

\[ V = \frac{4}{3} \times 3.14 \times 27 \]

Next, calculate \( \frac{4}{3} \times 27 \):

\[ \frac{4 \times 27}{3} = \frac{108}{3} = 36 \]

Now multiply by \( \pi \):

\[ V = 36 \times 3.14 = 113.04 \]

Rounding to the nearest tenth gives:

\[ V \approx 113.0 , \text{cm}^3 \]

So, the correct answer is:

113.0 cm³