Answer:
- 183.9 square inches
- 74 bottles of paint
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.