Question

A circular pillar candle is 2.8 inches wide and 6 inches tall. What are the lateral area and surface area of the candle? Round to the nearest tenth if necessary.

Answer 1

Lateral area and surface area of candle is 52.8 inches² and 65.1 inches².

We are given the height and width of pillar candle. So, firstly writing the formula of lateral area and surface area of cylinder followed by calculation.

Lateral area of cylinder = 2πrh, where r stands for radius and h represents height.

Surface area of cylinder = 2πrh + 2πr²

Radius = diameter÷2

Radius = 2.8÷2

Radius = 1.4 inches

Keep the values in formula for calculation -

Lateral area of cylinder = 2×3.14×1.4×6

Lateral area of cylinder = 52.78 inches²

Surface area of cylinder = 2×3.14×1.4×6 + 2×3.14×1.4²

Surface area of cylinder = 65.09 inches²

Rounding off to nearest tenth-

Lateral area of cylinder = 52.8 inches²

Surface area of cylinder = 65.1 inches²

Hence, the lateral area and surface area of cylinder is 52.8 inches² and 65.1 inches².

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