Anita plans to cover a solid cone with construction paper for a science project. The cone has a diameter of 11 inches and a slant height of 28.5 inches. How many square inches of paper will she need to cover the entire cone?
492.20 in.
587.18 in.
982.82 in.
984.39 in.

587.18 square inches

Step-by-step explanation:

We would find the Total surface area of the cone

Diameter of the cone = 11 inches

Radius = Diameter ÷ 2 = 11 / 2 = 5.5 inches

Slant height ( l ) = 28.5 inches

Let's take π = 3.14

Total Surface Area of a cone = πrl + πr²

= πr(l + r)

= 3.14 × 5.5( 28.5 + 5.5)

= π × 5.5(34)

= 587.18 square inches

There the square inches of paper will she need to cover the entire cone is 587.18 square inches

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step-by-step explanation: