Question

Calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth, the sphere is 12 cm high

Answer 1

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

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

where \( V \) is the volume and \( r \) is the radius of the sphere. The height of the sphere is given as 12 cm, which means the diameter is 12 cm. Therefore, the radius \( r \) is half of the diameter:

\[
r = \frac{12}{2} = 6 \text{ cm}
\]

Now, we can substitute the radius into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times (6)^3
\]

First, we need to calculate \( (6)^3 \):

\[
(6)^3 = 216
\]

Now substitute that back into the equation for volume:

\[
V = \frac{4}{3} \times 3.14 \times 216
\]

Now calculate \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.1867 \text{ (approximating)}
\]

Now, multiply this value by 216:

\[
V \approx 4.1867 \times 216 \approx 904.6022
\]

Rounding to the nearest tenth gives us:

\[
V \approx 904.6 \text{ cm}^3
\]

So, the volume of the sphere is approximately **904.6 cm³**.