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Jane has to paint a cylindrical column that is 14 feet high and that h
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10 Feb 2023, 06:15
10 Feb 2023, 06:15
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66% (02:05) wrong based on 3 sessions
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Jane has to paint a cylindrical column that is 14 feet high and that has a circular base with a radius of 3 feet. If one bucket of paint will cover 10π square feet, how many whole buckets does Jane need to buy in order to paint the column, including the top and bottom?
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11 buckets
Re: Jane has to paint a cylindrical column that is 14 feet high and that h
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20 Feb 2023, 06:35
20 Feb 2023, 06:35
Expert Reply
OE
The surface area of a cylinder is the area of the circular top and bottom, plus the area of its wrapped-around rectangular third face:
Top and bottom \(9\pi\) each
Rectangular \(84 \pi\)
The total surface area, then, is 9π + 9π + 84π = 102π ft^2. If one bucket of paint will cover 10π ft^2, then Jane will need 10.2 buckets to paint the entire column. Because paint stores do not sell fractional buckets, she will need to purchase 11 buckets.
The surface area of a cylinder is the area of the circular top and bottom, plus the area of its wrapped-around rectangular third face:
Top and bottom \(9\pi\) each
Rectangular \(84 \pi\)
The total surface area, then, is 9π + 9π + 84π = 102π ft^2. If one bucket of paint will cover 10π ft^2, then Jane will need 10.2 buckets to paint the entire column. Because paint stores do not sell fractional buckets, she will need to purchase 11 buckets.
gmatclubot
Re: Jane has to paint a cylindrical column that is 14 feet high and that h [#permalink]
20 Feb 2023, 06:35
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