A cylindrical water tank is located on level ground. The tank has a height of 49 feet and a diameter of 42 feet. If one gallon of paint covers 350 square feet, how many gallons of paint are required to paint the water tank?
i tried: 2π⋅21⋅49 + 2π21^2 and then divided that by 350 but i got marked wrong
thanks for looking
What I notice is that you included the circular base of the tank. It is sitting on the ground, so it would not be painted
try 2πrh + πr^2
(you had 2πr^2)
i appreciate your swift answer Reiny :}
bless you
To find the amount of paint needed to paint the water tank, you need to calculate the surface area of the tank and then divide it by the coverage of one gallon of paint.
The surface area of a cylindrical tank is given by the formula:
Surface Area = 2πr^2 + 2πrh,
where r is the radius of the tank and h is the height.
Given that the diameter of the tank is 42 feet, we can calculate the radius (r) by dividing the diameter by 2:
r = 42/2 = 21 feet.
Now, plug in the values of r and h into the formula to calculate the surface area of the tank:
Surface Area = 2π(21)^2 + 2π(21)(49).
Surface Area = 2π(441) + 2π(1029).
Surface Area = 882π + 2058π.
Surface Area = 2940π square feet.
Next, divide the surface area by the coverage of one gallon of paint (350 square feet) to find the number of gallons needed:
Number of gallons = Surface Area / Coverage of one gallon of paint.
Number of gallons = 2940π / 350.
To find the final answer, you can either simplify the resulting expression or use a calculator to evaluate it.