9514 1404 393
Answer:
8 gallons
Step-by-step explanation:
The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...
$2/($0.25/gal) = 8 gal
to make the costs the same.
The customer must purchase 8 gallons for the total cost to be the same at both gas stations.
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3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash
0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides
g = 2/.25 = 8 . . . . . . the way we did it above
This should be the answer if not my bad
Easy the first one message me if you need more help.
First, substitute the given radius and given height of the cone into the formula for the volume of a cone.
Volume of a cone: (1/3) pi r^2 h
In this case, the cone volume is (1/3) pi (12 cm)^2 (12 cm) = 576 cm^3
Vol. of a rt. cylinder: pi r^2 h
In this case, the vol. of the rt. cyl. is pi (8 cm)^2 h.
The two different shapes have the same volume. Therefore, set the two formulas (above) equal to each other:
576 pi cm^3 = pi (8cm)^2 h. This becomes
576 pi cm^3 = pi (64 cm^2) h. "pi" cancels out, leaving us with
576 cm^3
------------- = h. This is the height of the cylinder, in cm.
64 cm^2
