Kilograms 7828

The gas tank has the shape of a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? How many kilograms of paint are needed to paint a gas tank if 1 kg of paint is enough to paint about 6 square meters?

Correct answer:

V =  2952.9672 m³
m =  165.897 kg

Step-by-step explanation:

$$\begin{gathered} D=17.8\text{m} \\ r=D/2=17.8/2=\frac{89}{10}=8.9\text{m} \\ V=\frac{4}{3}\cdot \pi \cdot r^3=\frac{4}{3}\cdot 3.1416\cdot 8.9^3=2952.9672{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} h=1/6=\frac{1}{6}\doteq 0.1667{\text{kg/m}}^2 \\ S=4\pi \cdot r^2=4\cdot 3.1416\cdot 8.9^2\doteq 995.3822{\text{m}}^2 \\ m=S\cdot h=995.3822\cdot 0.1667=165.897\text{kg} \end{gathered}$$

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