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
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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
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BTGmoderatorDC
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Solution:BTGmoderatorDC wrote: ↑Wed Oct 28, 2020 4:55 pmJane 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
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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