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

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Wed Oct 28, 2020 4:55 pm

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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 10π10π square feet, how many full buckets does Jane need to buy in order to paint the column, including the top and bottom?

A. 9
B. 10
C. 11
D. 12
E. 13

OA C

Source: Manhattan Prep

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Source: Beat The GMAT — Problem Solving | Wed Oct 28, 2020 4:55 pm

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8208; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: 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

by Scott@TargetTestPrep » Thu Nov 05, 2020 4:10 pm

BTGmoderatorDC wrote: ↑
Wed Oct 28, 2020 4:55 pm
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 10π10π square feet, how many full buckets does Jane need to buy in order to paint the column, including the top and bottom?

A. 9
B. 10
C. 11
D. 12
E. 13

OA C

Solution:

The surface area of the column is 2π x 3^2 + 2π x 3 x 14 = 18π + 84π = 102π. Therefore, Jane needs 102π/10π = 10.2 buckets of paint. However, since she can’t buy a partial bucket of paint, she must buy 11 buckets of paint to paint the column (including the top and bottom).

Answer: C

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