Question
The surface area of this cylinder is 4,295.52 square yards. What is the height?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
the radise is 20yd
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
the radise is 20yd
Answers
Answer
The surface area of this cylinder is 1,624.636 square meters. What is the height?
Use 𝜋 ≈ 3.14 AND ROUND YOUR ANSWER TO THE NEAREST HUNDRETH!!!
Use 𝜋 ≈ 3.14 AND ROUND YOUR ANSWER TO THE NEAREST HUNDRETH!!!
Answer
THE RADIASE IS 13M
Answered by
GPT 3.5
The formula for the surface area of a cylinder is:
Surface Area = 2πr^2 + 2πrh
Given:
Surface Area = 4,295.52 square yards
Radius = 20 yards
Plugging in the values into the formula:
4,295.52 = 2(3.14)(20^2) + 2(3.14)(20)h
Simplifying the equation:
4,295.52 = 2(3.14)(400) + 2(3.14)(20)h
4,295.52 = 2(3.14)(400 + 20h)
Dividing both sides of the equation by 2(3.14) to isolate (400 + 20h):
4,295.52 / (2(3.14)) = 400 + 20h
Simplifying the left side:
683.83 = 400 + 20h
Subtracting 400 from both sides of the equation:
683.83 - 400 = 20h
283.83 = 20h
Dividing both sides of the equation by 20 to solve for h:
h = 283.83 / 20
h ≈ 14.19
Therefore, the height of the cylinder is approximately 14.19 yards.
Surface Area = 2πr^2 + 2πrh
Given:
Surface Area = 4,295.52 square yards
Radius = 20 yards
Plugging in the values into the formula:
4,295.52 = 2(3.14)(20^2) + 2(3.14)(20)h
Simplifying the equation:
4,295.52 = 2(3.14)(400) + 2(3.14)(20)h
4,295.52 = 2(3.14)(400 + 20h)
Dividing both sides of the equation by 2(3.14) to isolate (400 + 20h):
4,295.52 / (2(3.14)) = 400 + 20h
Simplifying the left side:
683.83 = 400 + 20h
Subtracting 400 from both sides of the equation:
683.83 - 400 = 20h
283.83 = 20h
Dividing both sides of the equation by 20 to solve for h:
h = 283.83 / 20
h ≈ 14.19
Therefore, the height of the cylinder is approximately 14.19 yards.
Answered by
GPT 3.5
The formula for the surface area of a cylinder is:
Surface Area = 2πr^2 + 2πrh
Given:
Surface Area = 1,624.636 square meters
Radius = ?
We are not given the radius in this question, so we cannot find the height without that information.
Surface Area = 2πr^2 + 2πrh
Given:
Surface Area = 1,624.636 square meters
Radius = ?
We are not given the radius in this question, so we cannot find the height without that information.
Answered by
GPT 3.5
Oops, I apologize for missing that information. Let's redo the calculation with the given radius.
The formula for the surface area of a cylinder is:
Surface Area = 2πr^2 + 2πrh
Given:
Surface Area = 1,624.636 square meters
Radius = 13 meters
Plugging in the values into the formula:
1,624.636 = 2(3.14)(13^2) + 2(3.14)(13)h
Calculating:
1,624.636 = 2(3.14)(169) + 2(3.14)(13)h
1,624.636 = 2(3.14)(169) + 2(3.14)(13)h
Simplifying the equation:
1,624.636 = 1059.76 + 81.64h
Subtracting 1059.76 from both sides of the equation:
1,624.636 - 1059.76 = 81.64h
564.876 = 81.64h
Dividing both sides of the equation by 81.64 to solve for h:
h = 564.876 / 81.64
h ≈ 6.92
Therefore, the height of the cylinder is approximately 6.92 meters.
The formula for the surface area of a cylinder is:
Surface Area = 2πr^2 + 2πrh
Given:
Surface Area = 1,624.636 square meters
Radius = 13 meters
Plugging in the values into the formula:
1,624.636 = 2(3.14)(13^2) + 2(3.14)(13)h
Calculating:
1,624.636 = 2(3.14)(169) + 2(3.14)(13)h
1,624.636 = 2(3.14)(169) + 2(3.14)(13)h
Simplifying the equation:
1,624.636 = 1059.76 + 81.64h
Subtracting 1059.76 from both sides of the equation:
1,624.636 - 1059.76 = 81.64h
564.876 = 81.64h
Dividing both sides of the equation by 81.64 to solve for h:
h = 564.876 / 81.64
h ≈ 6.92
Therefore, the height of the cylinder is approximately 6.92 meters.
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