Question

A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. The barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.

Which of the following is the best approximation of the perimeter of the fence the gardener will build?

A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet

Answer 1

Option C

Explanation:

Barrel (storage container) is enclosed in a small square fence.

Since, barrel is touching the surfaces from four sides of the cylindrical barrel.

Length of each side of the square fence = Diameter of the barrel

= 2(radius of the barrel)

= 2(1.5)

= 3 feet

Perimeter of a square = 4(Side of a square)

= 4(3)

= 12 feet

Therefore, Option C will be the correct option.