Find the surface area of the cylinder. Use the approximation of 3.14 for pi. The height of the cylinder is 3 yd. and the diameter of the cylinder is 2 yd.
(1 point)
Responses
32.97
32.97
75.36
75.36
25.12
25.12
62.8
62.8
To find the surface area of a cylinder, we need to calculate the sum of the areas of the two bases and the lateral surface area.
The area of each base can be found using the formula for the area of a circle: A = πr^2, where r is the radius.
Given the diameter of the cylinder is 2 yd, we can find the radius by dividing the diameter by 2: r = 2/2 = 1 yd.
So, the area of each base is A = π(1^2) = π square yards.
The lateral surface area of a cylinder can be found using the formula: LSA = 2πrh, where r is the radius and h is the height.
Substituting the given values, the lateral surface area is LSA = 2π(1)(3) = 6π square yards.
Therefore, the surface area of the cylinder is the sum of the areas of the two bases and the lateral surface area: 2(π) + 6(π) = 8π.
Approximating π to 3.14, the surface area is 8(3.14) = 25.12 square yards.
Therefore, the correct answer is 25.12
What is the surface area, in square centimeters, of a cone with a diameter of 12 feet and a slant height of 14 feet? Use 3.14 for pi and round to the nearest tenth, if necessary.
Help plzzz!!!
To find the surface area of a cone, we need to calculate the sum of the area of the base and the lateral surface area.
The area of the base can be found using the formula for the area of a circle: A = πr^2, where r is the radius.
Given the diameter of the cone is 12 feet, we can find the radius by dividing the diameter by 2: r = 12/2 = 6 feet.
So, the area of the base is A = π(6^2) = π(36) square feet.
The lateral surface area of a cone can be found using the formula: LSA = πrl, where r is the radius and l is the slant height.
Substituting the given values, the lateral surface area is LSA = π(6)(14) = 84π square feet.
Therefore, the surface area of the cone is the sum of the area of the base and the lateral surface area: π(36) + 84π = 120π.
Approximating π to 3.14, the surface area is 120(3.14) = 376.8 square feet.
Since we want the answer in square centimeters, we need to convert from square feet to square centimeters.
There are 929.03 square centimeters in a square foot, so to convert, we multiply by the conversion factor: 376.8 * 929.03 = 350206.884 square centimeters.
Rounding to the nearest tenth, the surface area of the cone is approximately 350206.9 square centimeters.
Therefore, the correct answer is 350206.9.
I don't think that's it.
Apologies for the confusion. Let's try solving it again.
To find the surface area of a cone, we need to calculate the sum of the area of the base and the lateral surface area.
The area of the base can be found using the formula for the area of a circle: A = πr^2, where r is the radius.
Given the diameter of the cone is 12 feet, we can find the radius by dividing the diameter by 2: r = 12/2 = 6 feet.
So, the area of the base is A = π(6^2) = π(36) square feet.
The lateral surface area of a cone can be found using the formula: LSA = πrl, where r is the radius and l is the slant height.
Substituting the given values, the slant height is given as 14 feet, and the radius is 6 feet: LSA = π(6)(14) = 84π square feet.
Therefore, the surface area of the cone is the sum of the area of the base and the lateral surface area: π(36) + 84π = 36π + 84π = 120π square feet.
Approximating π to 3.14, the surface area is 120(3.14) = 376.8 square feet.
Rounding to the nearest tenth, the surface area of the cone is 376.8 square feet.
Therefore, the correct answer is 376.8 square feet.
Thank you!!!
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.
What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary. The slanted height is 11 units, and the radius is 6 units.
Help PLZZZ!!!
To find the surface area of a cone, we need to calculate the sum of the area of the base and the lateral surface area.
The area of the base can be found using the formula for the area of a circle: A = πr^2, where r is the radius.
Given the radius is 6 units, we can calculate the area of the base: A = π(6^2) = π(36) square units.
Next, we need to find the lateral surface area of the cone. This can be found using the formula LSA = πrl, where r is the radius and l is the slant height.
Given the slant height is 11 units and the radius is 6 units, we can calculate the lateral surface area: LSA = π(6)(11) = 66π square units.
Finally, we can calculate the surface area by adding the area of the base and the lateral surface area: π(36) + 66π = 102π square units.
Approximating π to 3.14, we have 102(3.14) ≈ 320.28 square units.
Therefore, the surface area of the cone is approximately 320.28 square units.