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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.

Respuesta :

Answer:

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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