If the diameter of a cylinder is 2.3 m and the height is 334 cm, what is the calculated surface area in square metres?

If the diameter of a cylinder is 2.3 m and the height is 334 cm, what is the calculated surface area in square metres?

• A. 3,244.3
• B. 324.43
• C. 3.2443
• D. 32.443

Answer: (D)

To calculate the surface area of a cylinder, you can use the formula: \[ \text{Surface Area} = 2\pi r(h + r) \] where \( r \) is the radius of the cylinder and \( h \) is the height. Given that the diameter is 2.3 m, you can find the radius by dividing the diameter by 2: \[ r = \frac{2.3 \, \text{m}}{2} = 1.15 \, \text{m} \] The height needs to be converted from centimeters to meters to maintain consistent units: \[ h = 334 \, \text{cm} = 3.34 \, \text{m} \] Now, substitute the values into the formula: \[ \text{Surface Area} = 2\pi(1.15 \, \text{m})(3.34 \, \text{m} + 1.15 \, \text{m}) \] Calculate \( h + r \): \[ h + r = 3.34 + 1.15 = 4.49 \, \text{m} \] Now, substitute \( r \)

To calculate the surface area of a cylinder, you can use the formula:

[ \text{Surface Area} = 2\pi r(h + r) ]

where ( r ) is the radius of the cylinder and ( h ) is the height. Given that the diameter is 2.3 m, you can find the radius by dividing the diameter by 2:

[ r = \frac{2.3 , \text{m}}{2} = 1.15 , \text{m} ]

The height needs to be converted from centimeters to meters to maintain consistent units:

[ h = 334 , \text{cm} = 3.34 , \text{m} ]

Now, substitute the values into the formula:

[ \text{Surface Area} = 2\pi(1.15 , \text{m})(3.34 , \text{m} + 1.15 , \text{m}) ]

Calculate ( h + r ):

[ h + r = 3.34 + 1.15 = 4.49 , \text{m} ]

Now, substitute ( r )