A cylinder flower pot with open top needs to be painted. The height is 9 inches and radius is 3 inches. If it takes Troy 5 minutes to paint 40 square inches, how long to the minute will it take him to paint the outside of the flower pot.

I came up with 141.3 total sq inches
answer should be 25 minutes but I don't get that??

To find the total surface area of the cylinder flower pot, you need to add the surface area of the curved side (lateral surface area) to the surface area of the two circular ends.

The formula for the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2 * π * radius * height

Using the given measurements for the flower pot:
Radius = 3 inches
Height = 9 inches

Lateral Surface Area = 2 * π * 3 * 9
Lateral Surface Area = 54π square inches

The formula for the surface area of a circle is given by:
Surface Area of Circle = π * radius^2

Using the given measurements for the circular ends:
Radius = 3 inches

Surface Area of Circular Ends = 2 * π * 3^2
Surface Area of Circular Ends = 18π square inches

To find the total surface area of the flower pot, you add the lateral surface area and the surface area of the circular ends:
Total Surface Area = Lateral Surface Area + Surface Area of Circular Ends
Total Surface Area = 54π + 18π
Total Surface Area = 72π square inches

Now, since Troy paints at a rate of 40 square inches in 5 minutes, we need to determine how long it will take him to paint 72π square inches.

To find the time it will take, we can set up a proportion using the given information:
40 square inches / 5 minutes = 72π square inches / x minutes (where x is the required time)

Simplifying the proportion:
40/5 = 72π/x
8 = 72π/x

To solve for x, we can cross-multiply and then divide:
8x = 72π
x = 72π/8
x = 9π minutes

To get the answer in minutes rounded to the nearest whole number, we substitute the value of π (approximately 3.14159) into the equation:
x ≈ 9 * 3.14159
x ≈ 28.27531 minutes

Rounding to the nearest whole number, it will take Troy approximately 28 minutes to paint the outside of the flower pot.

recall that the surface area of cylinder is given by

SA = 2πr^2 + 2πrh
where
r = radius
h = height
π = "pi" equal to 3.14 (constant)
substituting,
SA = 2*(3.14)*3^2 + 2*(3.14)*3*9
SA = 226.08 in^2

then we divide this by his speed, 40 in^2/5 min:
226.08/(40/5)
226.08 / 8 = 28.26 minutes

hope this helps~ :)
and multiply this by 5

thank you

A wood board, 75 inches long, was cut on three pieces.

Every next piece is 5 inches longer tham the previous.
How long is the first piece?
Assign x for the length of the first piece,
create an equation and find x.