The surface area of a cylinder can be calculated using the formula:
Surface area = 2πr^2 + 2πrh,
where r is the radius of the cylinder's base and h is the height of the cylinder.
Since the top of the cylinder is given as 7 yards, this means the height of the cylinder is also 7 yards.
The side of the cylinder is given as 8 yards, which represents the circumference of the base. From this, we can solve for the radius using the formula for circumference:
Circumference = 2πr
8 = 2πr
r = 4/π ≈ 1.273 yards.
Now, we can calculate the surface area:
Surface area = 2π(1.273)^2 + 2π(1.273)(7)
Surface area ≈ 2π(1.618) + 2π(8.911)
Surface area ≈ 3.236π + 17.822π
Surface area ≈ 21.058π.
Therefore, the surface area of the cylinder is approximately 21.058π square yards.
the top of the cylinder is 7 yards and the side of the cylinder is 8 yards
What is the surface area
9 answers
Not a choice
I apologize for any confusion. If you have specific options to choose from, please provide them so that I can help you with your question.
252.77 square yard
329.7 square yard
577.76 square yard
329.7 square yard
577.76 square yard
To find the surface area of a cylinder, we need to know the formula:
Surface area = 2πr^2 + 2πrh
You mentioned that the top of the cylinder is 7 yards and the side of the cylinder is 8 yards.
Let's calculate the surface area:
The top and bottom of the cylinder have the same radius, so we will use the radius of the top of the cylinder.
Given that the top of the cylinder is 7 yards, the radius (r) is half of that:
r = 7/2 = 3.5 yards
The side of the cylinder (8 yards) represents the circumference of the base, which can be used to find the radius (r) as well:
Circumference = 2πr
8 = 2πr
r = 8/(2π) ≈ 1.273 yards
Now, we can calculate the surface area:
Surface area = 2π(3.5)^2 + 2π(3.5)(7)
Surface area ≈ 2π(12.25) + 2π(24.5)
Surface area ≈ 24.5π + 49π
Surface area ≈ 73.5π ≈ 230.8 square yards
Therefore, the surface area of the cylinder is approximately 230.8 square yards.
Surface area = 2πr^2 + 2πrh
You mentioned that the top of the cylinder is 7 yards and the side of the cylinder is 8 yards.
Let's calculate the surface area:
The top and bottom of the cylinder have the same radius, so we will use the radius of the top of the cylinder.
Given that the top of the cylinder is 7 yards, the radius (r) is half of that:
r = 7/2 = 3.5 yards
The side of the cylinder (8 yards) represents the circumference of the base, which can be used to find the radius (r) as well:
Circumference = 2πr
8 = 2πr
r = 8/(2π) ≈ 1.273 yards
Now, we can calculate the surface area:
Surface area = 2π(3.5)^2 + 2π(3.5)(7)
Surface area ≈ 2π(12.25) + 2π(24.5)
Surface area ≈ 24.5π + 49π
Surface area ≈ 73.5π ≈ 230.8 square yards
Therefore, the surface area of the cylinder is approximately 230.8 square yards.
Answer choice
252.77 square yard
329.7 square yard
577.76 square yard
252.77 yard
252.77 square yard
329.7 square yard
577.76 square yard
252.77 yard
Based on the calculations, the surface area of the cylinder is approximately 230.8 square yards, which is none of the given answer choices.
Just pick one
In that case, let's choose the closest answer choice to the calculated surface area:
The closest answer choice to the calculated surface area of 230.8 square yards is 252.77 square yards.
Therefore, the closest answer choice is 252.77 square yards.
The closest answer choice to the calculated surface area of 230.8 square yards is 252.77 square yards.
Therefore, the closest answer choice is 252.77 square yards.