Answer the questions below to find the total surface area of the can.A cylinder with radius 0.75 inches and height 4 inches. A circle with radius 0.75 inches on each side of a rectangle with width 4 inches.
To find the total surface area of the can, we need to find the surface area of the curved part of the cylinder and the area of the two circular bases.
Surface Area of the curved part of the cylinder:
The formula for the surface area of a cylinder is 2πrh, where r is the radius and h is the height.
In this case, r = 0.75 inches and h = 4 inches.
Surface Area = 2 * π * 0.75 * 4 = 24π square inches
Surface Area of the two circular bases:
The formula for the area of a circle is πr^2.
In this case, r = 0.75 inches.
Area = 2 * π * (0.75)^2 = 2.25π square inches
Total Surface Area = Surface Area of the curved part + Surface Area of the two circular bases
Total Surface Area = 24π + 2.25π = 26.25π square inches
Therefore, the total surface area of the can is 26.25π square inches, or approximately 82.5 square inches.