The volume of the rectangular prism is given by V = lwh, where l = 2, w = 4, and h = 5. Therefore, V = 2 * 4 * 5 = 40 cubic inches.
The volume of a sphere is given by V = (4/3) * π * r^3, where r = 3.2. Therefore, V = (4/3) * π * (3.2)^3 ≈ 137.78 cubic inches.
The surface area of a sphere is given by A = 4 * π * r^2. Therefore, A = 4 * π * (3.2)^2 ≈ 128.68 square inches.
Rounded to the nearest square inch, the surface area of the sphere is 129 square inches.
Therefore, the correct answer is:
129 square inches.
A spherical container is designed to hold as much volume as the rectangular prism above. Its radius is 3.2 in. Find the surface area of the sphere rounded to the nearest square inch.
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43 square inches
129 square inches
137 square inches
412 square inches
1 answer