Question

What is the volume of sphere shown below?
​
​Use 3.14
With a diamiter of 72 cm

A
109,874.88109,874.88 cubic centimeters
B
195,333.12195,333.12 cubic centimeters
C
1,562,664.961,562,664.96 cubic centimeters
D
195,510.86195,510.86 cubic centimeters

Answer 1

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.

Step 1: Find the radius.
Given that the diameter of the sphere is 72 cm, the radius \( r \) is half of the diameter:

\[
r = \frac{72}{2} = 36 \text{ cm}
\]

Step 2: Substitute the radius into the volume formula.
Now we can plug \( r \) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times (36^3)
\]

Step 3: Calculate \( 36^3 \):
\[
36^3 = 36 \times 36 \times 36 = 46,656
\]

Step 4: Calculate the volume:
\[
V = \frac{4}{3} \times 3.14 \times 46,656
\]

\[
V = \frac{4 \times 3.14 \times 46,656}{3}
\]

Calculating \( 4 \times 3.14 \) first:
\[
4 \times 3.14 = 12.56
\]

Now multiply:
\[
12.56 \times 46,656 \approx 586,109.76
\]

Now divide by 3:
\[
V \approx \frac{586,109.76}{3} \approx 195,369.92 \text{ cubic centimeters}
\]

The closest option provided that matches this value is:

**B: 195,333.12 cubic centimeters**

This is the most reasonable answer from the choices given, taking into account any rounding differences.