Fuel economy

How many kilometers is sufficient petrol in the cylinder fuel tank with a diameter 40 cm and the base of tank length 1 m, when it is filled to 60% and if the car consume 15 liters per 100 km?

Result

x =  502.7 km

Solution:

D=40/10=4 l=1⋅ 10=10 r=D/2=4/2=2 V=π⋅ r2⋅ l=3.1416⋅ 22⋅ 10≐125.6637 V2=60/100⋅ V=60/100⋅ 125.6637≐75.3982 x=V2⋅ 100/15=75.3982⋅ 100/15≐502.6548≐502.7 kmD=40/10=4 \ \\ l=1 \cdot \ 10=10 \ \\ r=D/2=4/2=2 \ \\ V=\pi \cdot \ r^2 \cdot \ l=3.1416 \cdot \ 2^2 \cdot \ 10 \doteq 125.6637 \ \\ V_{2}=60/100 \cdot \ V=60/100 \cdot \ 125.6637 \doteq 75.3982 \ \\ x=V_{2} \cdot \ 100 / 15=75.3982 \cdot \ 100 / 15 \doteq 502.6548 \doteq 502.7 \ \text{km}

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