Question

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Part 1
An oil candle globe made of​ hand-blown glass has a diameter of 18.8 cm. What is the volume of the​ globe?

Answer 1

To find the volume of a sphere (which is the shape of the globe), you can use the formula:

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

where \( V \) is the volume and \( r \) is the radius.

First, we need to find the radius of the globe. The diameter is given as 18.8 cm, so the radius \( r \) is:

\[
r = \frac{\text{diameter}}{2} = \frac{18.8 \, \text{cm}}{2} = 9.4 \, \text{cm}
\]

Now we can substitute the radius into the volume formula:

\[
V = \frac{4}{3} \pi (9.4 \, \text{cm})^3
\]

Calculating \( (9.4 \, \text{cm})^3 \):

\[
(9.4 \, \text{cm})^3 = 9.4 \times 9.4 \times 9.4 = 830.584 \, \text{cm}^3
\]

Now, substitute this value back into the volume formula:

\[
V = \frac{4}{3} \pi (830.584 \, \text{cm}^3)
\]

Calculating this:

\[
V \approx \frac{4}{3} \times 3.14159 \times 830.584 \approx 3486.90 \, \text{cm}^3
\]

Thus, the volume of the globe is approximately:

\[
\boxed{3486.90 \, \text{cm}^3}
\]