Jane has to paint a cylindrical column that is 14 feet high and that

Question

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 \(10\pi\) 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

Kudos for a correct solution.

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

NickHalden · Answer

Concept :  Total Surface area of a cylinder (2 bases + curved surface) = 2πrh + 2πr*r  --------- (1)

Using 1,
Total surface area to be painted = 2π*3*14 + 2π*3*3 =   102π   -------------- (2)

We need 1 bucket to paint 10π area ------------------ (3)

From 2 & 3,
To paint 102π = 102π/10π = 10.2 buckets are required.

Thus we need to buy 11 paint buckets in all !!
 Hence C

GMATinsight · Answer

The Surface Area to be painted = 2πr^2 + 2πrh = 2π*3(3+14) = 102π

Buckets of Paint needed = Total Area to be painted / Area painted by one bucket = 102π / 10π = 10.2 = 11 Bucket (Because 10 buckets are insufficient so we need 11)

Answer:: Option C

adityadon · Answer

surface ares = 2*pi*r (r+h) = 102 Pi

Buckets = 102 pi /10 = 10.2

Hence we need 11 buckets ...

kanigmat011 · Answer

C is correct
surface ares = 2*pi*r (r+h) = 102 Pi

Buckets = 102 pi /10 pi = 10.2
rounding off to 11

Bunuel · Answer

MANHATTAN GMAT OFFICIAL SOLUTION:

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 & Bottom:  A = \pi r^2 = 9\pi 
Rectangle:  A = 2\pi r * h = 84\pi

The total surface area, then, is  9\pi + 9\pi + 84\pi = 102 \pi  ft2. If one bucket of paint will cover  10\pi  ft^2, then Jane will need 10.2 buckets to paint the entire column. Since paint stores do not sell fractional buckets, she will need to purchase 11 buckets.

Answer: C.

ElenaSchlenk · Answer

Quick question, when I researched I got the info that the Gmat 2026 does not have geometry question anymore. Is that not correct? Many thanks!

Bunuel · Answer

Check these two topics:

GMAT Syllabus for Focus Edition  
  Geometry Tested on GMAT Focus?

While specific geometry knowledge is not tested on GMAT Focus, not everything involving shapes, volumes, or areas requires specialized geometry knowledge. The area of a square or rectangle, the volume of a cube or rectangular solid, and  the Pythagorean theorem  are not considered specific geometry knowledge by the GMAT and can still be tested. Moreover, a question can involve shapes but test another area, such as combinations or other topics. There are several  questions involving these concepts in the GMAT Prep Focus mocks .

The chapter on coordinate geometry, including planes and slopes, is still present in the recent Official Guides. That said, it is tested to a much smaller extent. For example, you might see some questions involving graphs, either in Problem Solving or in Data Insights graph-based questions. However, those usually fall under the functions category rather than pure coordinate geometry, so they typically won’t involve distance calculations, angles, or similar topics.

Jane has to paint a cylindrical column that is 14 feet high and that

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