Challenge 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 150 in.2. How many bottles of paint
does he need in order to paint 60 ornaments?
Use 3.14 for t.
98 in
24 in
The fire in Atlanta
The surface area of one ornament is about ?inches squared

Challenge 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 150 in2 Ho class=

Respuesta :

Answer:

  • 183.9 square inches
  • 74 bottles of paint

Step-by-step explanation:

The surface area of one ornament is twice the area of a cone with radius 2.4 inches and slant height 9.8 inches. The number of bottles of paint required will be found by dividing the total area to be painted by the area covered by one bottle.

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The area formula for a cone is ...

  A = πr(r +s) . . . . . radius r, slant height s

The area of the double cone ornament will be ...

  A = 2(3.14)(2.4 in)(2.4 +9.8 in) = 183.8784 in²

The surface area of one ornament is about 183.9 square inches.

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The surface area of 60 ornaments is ...

  60 × 183.8784 in² = 11,032.704 in²

The number of bottles of paint required is ...

  11,032.704 in²/(150 in²/bottle) = 73.55136 bottles

Tim will need 74 bottles of paint for 60 ornaments.