The formula to find the surface area of a cylinder is given by:
Surface Area = 2πr(r+h)
Given that the radius (r) is 4 cm and the height (h) is 2 cm, we can substitute these values into the formula:
Surface Area = 2π(4)(4+2)
Surface Area = 2π(4)(6)
Surface Area = 2(3.14)(4)(6)
Surface Area ≈ 150.72 cm^2
Therefore, the surface area of the cylinder is approximately 150.72 square centimeters.
Find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm. use the approximation of 3.14 for pi.
__ square centimeters
7 answers
Find the surface area of a cylinder with a diameter of 12 inches and height of 10 inches. use the approximation of 3.14 for pi.
__in. ^2
__in. ^2
To find the surface area of the cylinder, we need to first find the radius (r) using the given diameter:
Radius (r) = diameter / 2
= 12 / 2
= 6 inches
The formula to find the surface area of a cylinder is given by:
Surface Area = 2πr(r + h)
Given that the radius (r) is 6 inches and the height (h) is 10 inches, we can substitute these values into the formula:
Surface Area = 2π(6)(6 + 10)
Surface Area = 2π(6)(16)
Surface Area = 2(3.14)(6)(16)
Surface Area ≈ 602.88 in^2
Therefore, the surface area of the cylinder is approximately 602.88 square inches.
Radius (r) = diameter / 2
= 12 / 2
= 6 inches
The formula to find the surface area of a cylinder is given by:
Surface Area = 2πr(r + h)
Given that the radius (r) is 6 inches and the height (h) is 10 inches, we can substitute these values into the formula:
Surface Area = 2π(6)(6 + 10)
Surface Area = 2π(6)(16)
Surface Area = 2(3.14)(6)(16)
Surface Area ≈ 602.88 in^2
Therefore, the surface area of the cylinder is approximately 602.88 square inches.
A baker needs to cover a cylinder cake with icing. the cake has a radius of 5 inches and a height of 7 inches. how many square inches of icing will be needed to cover the sides and top of the cake? icing will not be added to the bottom of the cake. use 3.14 for pi and round your answer to the nearest tenth.
To find the surface area of the sides and top of the cake that need to be covered with icing, we first need to find the lateral surface area of the cylinder, which represents the sides of the cake.
The formula to find the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh
Given that the radius (r) is 5 inches and the height (h) is 7 inches, we can substitute these values into the formula:
Lateral Surface Area = 2π(5)(7)
= 2(3.14)(5)(7)
= 440.2 square inches
Next, we need to find the area of the top of the cake, which is a circle.
The formula to find the area of a circle is given by:
Area of Circle = πr^2
Given that the radius (r) is 5 inches, we can substitute this value into the formula:
Area of Circle = 3.14(5^2)
= 3.14(25)
= 78.5 square inches
Finally, to find the total area of icing needed, we add the lateral surface area and the area of the top of the cake:
Total Area = Lateral Surface Area + Area of Circle
= 440.2 + 78.5
= 518.7 square inches
Therefore, approximately 518.7 square inches of icing will be needed to cover the sides and top of the cake.
The formula to find the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh
Given that the radius (r) is 5 inches and the height (h) is 7 inches, we can substitute these values into the formula:
Lateral Surface Area = 2π(5)(7)
= 2(3.14)(5)(7)
= 440.2 square inches
Next, we need to find the area of the top of the cake, which is a circle.
The formula to find the area of a circle is given by:
Area of Circle = πr^2
Given that the radius (r) is 5 inches, we can substitute this value into the formula:
Area of Circle = 3.14(5^2)
= 3.14(25)
= 78.5 square inches
Finally, to find the total area of icing needed, we add the lateral surface area and the area of the top of the cake:
Total Area = Lateral Surface Area + Area of Circle
= 440.2 + 78.5
= 518.7 square inches
Therefore, approximately 518.7 square inches of icing will be needed to cover the sides and top of the cake.
518.7 is incorrect. please solve again using the formula 2πr^2 + 2πrh
Apologies for the incorrect calculation. Let's solve it again using the correct formula.
The formula to find the surface area of a cylinder is given by:
Surface Area = 2πr^2 + 2πrh
Given that the radius (r) is 5 inches and the height (h) is 7 inches, we can substitute these values into the formula:
Surface Area = 2π(5^2) + 2π(5)(7)
= 2π(25) + 2π(35)
= 50π + 70π
= 120π
Using the approximation of π as 3.14, we can calculate the surface area:
Surface Area ≈ 120 * 3.14
≈ 376.8 square inches
Therefore, approximately 376.8 square inches of icing will be needed to cover the sides and top of the cake.
The formula to find the surface area of a cylinder is given by:
Surface Area = 2πr^2 + 2πrh
Given that the radius (r) is 5 inches and the height (h) is 7 inches, we can substitute these values into the formula:
Surface Area = 2π(5^2) + 2π(5)(7)
= 2π(25) + 2π(35)
= 50π + 70π
= 120π
Using the approximation of π as 3.14, we can calculate the surface area:
Surface Area ≈ 120 * 3.14
≈ 376.8 square inches
Therefore, approximately 376.8 square inches of icing will be needed to cover the sides and top of the cake.