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CHAPTER Surface Area - School District #35

CHAPTER Surface Area - School District #35

CHAPTER Surface Area - School District #35

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Name: _____________________________________________________<br />

Date: ______________<br />

Working Example 2: Use the <strong>Surface</strong> <strong>Area</strong> of a Cylinder<br />

Find the surface area of the totem pole.<br />

Include the area of the 2 circular bases.<br />

The pole is 2.4 m tall and has a diameter of 0.75 m.<br />

Give your answer to the nearest hundredth of a square metre (2 decimal places).<br />

Solution<br />

Draw a diagram and label the dimensions.<br />

d = r = d ÷ 2 h =<br />

= ÷ 2<br />

=<br />

0.75 m<br />

2.4 m<br />

The cylinder has 2 circular bases.<br />

The area of 1 circle = π × r 2<br />

= 3.14 ×<br />

= m 2<br />

<strong>Area</strong> of 2 circles = 2 × 0.4415625<br />

2<br />

0.75 m<br />

= m 2<br />

The side of the cylinder is a rectangle.<br />

<strong>Area</strong> of rectangle = (π × d) × h<br />

≈ 3.14 × ×<br />

≈ m 2<br />

l = π d<br />

h = 2.4 m<br />

A = _____<br />

A = _____<br />

A = _____<br />

S.A. = area of 2 circles + area of 1 rectangle<br />

= +<br />

=<br />

Round your answer to<br />

the nearest hundredth<br />

(2 decimal places.)<br />

The total surface area is approximately m 2 .<br />

260 MHR ● Chapter 5: <strong>Surface</strong> <strong>Area</strong>

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