To find the surface area of the cylinder, you need to add the areas of the top and bottom circles (which are congruent) and the lateral surface area (which is the curved part of the cylinder).
The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2 π r h
Where r is the radius and h is the height.
So for this cylinder, the lateral surface area would be:
Lateral Surface Area = 2π(9)(20)
Lateral Surface Area = 360π
The formula for the area of a circle is:
Area = π r^2
So for this cylinder, the area of one circle (either the top or the bottom) would be:
Area of circle = π(9)^2
Area of circle = 81π
Since there are two circles, the total area of both circles would be:
Total area of circles = 2(81π)
Total area of circles = 162π
To find the surface area of the cylinder, you would then add the lateral surface area to the total area of the circles:
Surface Area = 2(81π) + 360π
Surface Area = 162π + 360π
Surface Area = 522π
Therefore, the surface area of the cylinder in terms of pi is 522π square inches.
can anyone help? A cylinder is shown. Its radius is labeled 9 inches and its height is labeled 20 inches. Find the surface area of the cylinder in terms of pi.
2 answers
wow me dumb thanks bruh