Answer:
To find the volume and total surface area (TSA) of a cylinder, we'll need the radius and the cross-sectional area (CSA) of the cylinder.
Given:
Radius (r) = 1 m
CSA = 88 cm²
First, let's convert the CSA from cm² to m²:
CSA = 88 cm² = 88/10000 m² = 0.0088 m²
Now, we can calculate the volume of the cylinder using the formula:
Volume = πr²h
Since the height (h) is not given, we cannot determine the exact volume.
However, we can calculate the TSA using the formula:
TSA = 2πrh + 2πr²
We know the radius (r = 1 m) and the CSA (0.0088 m²), which is related to the height and radius of the cylinder.
CSA = 2πrh
0.0088 = 2π(1)h
0.0088 = 2πh
h = 0.0088 / (2π)
Now, substituting the values of r and h in the TSA formula:
TSA = 2π(1)(0.0088 / (2π)) + 2π(1)²
TSA = 0.0176 + 2π
TSA ≈ 2π + 0.0176
Please note that without the exact height value, we can only calculate an approximate value for the TSA.
Step-by-step explanation:
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Verified answer
Answer:
To find the volume and total surface area (TSA) of a cylinder, we'll need the radius and the cross-sectional area (CSA) of the cylinder.
Given:
Radius (r) = 1 m
CSA = 88 cm²
First, let's convert the CSA from cm² to m²:
CSA = 88 cm² = 88/10000 m² = 0.0088 m²
Now, we can calculate the volume of the cylinder using the formula:
Volume = πr²h
Since the height (h) is not given, we cannot determine the exact volume.
However, we can calculate the TSA using the formula:
TSA = 2πrh + 2πr²
We know the radius (r = 1 m) and the CSA (0.0088 m²), which is related to the height and radius of the cylinder.
CSA = 2πrh
0.0088 = 2π(1)h
0.0088 = 2πh
h = 0.0088 / (2π)
Now, substituting the values of r and h in the TSA formula:
TSA = 2π(1)(0.0088 / (2π)) + 2π(1)²
TSA = 0.0176 + 2π
TSA ≈ 2π + 0.0176
Please note that without the exact height value, we can only calculate an approximate value for the TSA.
Step-by-step explanation:
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