Question

A spherical fuel tank is 0.9m in diameter.how
many cubic meter will the tank hold to the nearest tenth

Answer 1

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

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

where \( r \) is the radius of the sphere.

Given that the diameter of the tank is 0.9 meters, you can find the radius:

\[
r = \frac{\text{diameter}}{2} = \frac{0.9}{2} = 0.45 \, \text{m}
\]

Now, plug the radius into the volume formula:

\[
V = \frac{4}{3} \pi (0.45)^3
\]

Calculating \( (0.45)^3 \):

\[
(0.45)^3 = 0.091125 \, \text{m}^3
\]

Now calculate the volume:

\[
V = \frac{4}{3} \pi (0.091125)
\]
\[
V \approx \frac{4}{3} \times 3.14159 \times 0.091125
\]
\[
V \approx \frac{4.0}{3} \times 3.14159 \times 0.091125 \approx 0.381070 \, \text{m}^3
\]

Now multiplying by \(\frac{4}{3} \approx 4.18879\):

\[
V \approx 0.381070 \times 4.18879 \approx 0.477405 m^3
\]
\[
V \approx 0.381 \, m^3 \, \approx 0.5 \, m^3 \, \text{(to the nearest tenth)}
\]

So, the tank will hold approximately **0.4 m³** (to the nearest tenth).