Tim paints ornaments for a school play. Each ornament is as shown and is made up of two identical cones. He uses one bottle of paint to paint 199 in 2. How many bottles of paint does he need in order to paint 50 ​ornaments? Use 3.14 for pi . The radius is 4.1 in. The height is 8.5 in.

Respuesta :

About 54 bottles of paint would be needed to paint 50 ​ornaments.

What is an area?

An area is the amount of space occupied by the two dimensional shape or object.

The surface area of one ornament = 2π(radius)² + π(radius)(slant height)

Radius = 4.1 in. The height is 8.5 in.

Hence:

The surface area of one ornament = 2π(4.1)² + π(4,1)(8.5) = 215 in²

For 50 ornament, total area = 215 in² * 50 = 10750 in²

Amount of paint needed = 10750 in² / 199 in² = 54

About 54 bottles of paint would be needed to paint 50 ​ornaments.

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