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GRE Prep Club Team Member
Joined: 20 Feb 2017
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Jane has to paint a cylindrical column that is 14 feet high and that
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05 Mar 2021, 06:45
05 Mar 2021, 06:45
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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?
A. 8 buckets
B. 9 buckets
C. 10 buckets
D. 11 buckets
E. 12 buckets
A. 8 buckets
B. 9 buckets
C. 10 buckets
D. 11 buckets
E. 12 buckets
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
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Re: Jane has to paint a cylindrical column that is 14 feet high and that
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05 Mar 2021, 08:37
05 Mar 2021, 08:37
1
GeminiHeat wrote:
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?
A. 8 buckets
B. 9 buckets
C. 10 buckets
D. 11 buckets
E. 12 buckets
A. 8 buckets
B. 9 buckets
C. 10 buckets
D. 11 buckets
E. 12 buckets
The question requires Jane to paint the column, so we will use T.S.A
T.S.A of cylinder = \(2πr(H+r) = 2π(3)[14+3] = 102π\)
Now, each bucket can be used to paint \(10π\) of cylinder
Therefore, number of buckets required = \(\frac{102π}{10π} = 10.2 = 11\) buckets
Hence, option D
NOTE: We will require at-least 10.2 buckets, 10 will not do the work and we cannot get buckets in fractions, so 11
gmatclubot
Re: Jane has to paint a cylindrical column that is 14 feet high and that [#permalink]
05 Mar 2021, 08:37
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