Question

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

Answer 1

To calculate the volume of a sphere, we use the formula:

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

where \( r \) 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 \( \frac{4}{3} \times 27 \):

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

Now multiply this by \( 3.14 \):

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

Rounding to the nearest tenth, we get:

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

So the answer is:

**113.0 cm³**