Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.(1 point
Responses
471 square inches
471 square inches
314 square inches
314 square inches
471 inches
471 inches
345.4 square inches
To find the surface area of a cylinder, you need to calculate the area of both the top and bottom circles, as well as the lateral surface area.
The formula for the area of a circle is A = π * r^2, where r is the radius.
Therefore, the area of both the top and bottom circles would be:
A_circle = 3.14 * (5 inches)^2
A_circle = 3.14 * 25 square inches
A_circle = 78.5 square inches
The lateral surface area of a cylinder is given by:
A_lateral = 2 * π * r * h, where r is the radius and h is the height.
Therefore, the lateral surface area would be:
A_lateral = 2 * 3.14 * 5 inches * 10 inches
A_lateral = 314 square inches
To find the total surface area, simply add the areas of the circles and the lateral surface area:
A_total = 2 * A_circle + A_lateral
A_total = 2 * 78.5 square inches + 314 square inches
A_total = 157 square inches + 314 square inches
A_total = 471 square inches
Therefore, the surface area of the given cylinder is 471 square inches.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
(1 point)
Responses
252.77 yards
252.77 yards
252.77 square yards
252.77 square yards
329.7 square yards
329.7 square yards
577.76 square yards
To find the surface area of a cylinder, you need to calculate the area of both the top and bottom circles, as well as the lateral surface area.
The formula for the area of a circle is A = π * r^2, where r is the radius.
Therefore, the area of both the top and bottom circles would be:
A_circle = 3.14 * (5 inches)^2
A_circle = 3.14 * 25 square inches
A_circle = 78.5 square inches
The lateral surface area of a cylinder is given by:
A_lateral = 2 * π * r * h, where r is the radius and h is the height.
Therefore, the lateral surface area would be:
A_lateral = 2 * 3.14 * 5 inches * 10 inches
A_lateral = 314 square inches
To find the total surface area, simply add the areas of the circles and the lateral surface area:
A_total = 2 * A_circle + A_lateral
A_total = 2 * 78.5 square inches + 314 square inches
A_total = 157 square inches + 314 square inches
A_total = 471 square inches
Therefore, the surface area of the given cylinder is 471 square inches.