What is the surface area in square metres of a cylinder with a diameter of 1.5 m and height of 223 cm?

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

[

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

]

where ( r ) is the radius and ( h ) is the height.

1. First, convert the diameter to radius. The diameter is given as 1.5 m, so the radius ( r ) would be half of that:

[

r = \frac{1.5}{2} = 0.75 \text{ m}

]

2. Convert the height from centimeters to meters. The height is 223 cm:

[

h = \frac{223}{100} = 2.23 \text{ m}

]

3. Now substitute the values into the surface area formula:

[

\text{Surface Area} = 2\pi(0.75)(2.23 + 0.75)

]

4. First, calculate ( h + r ):

[

h + r = 2.23 + 0.75 = 2.98 \text{ m}

]

5. Now, compute the surface area:

[

\text{Surface