A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift. What is the maximum radius of the ball that Jimmy can wrap? Use 3.14 for π.Group of answer choices3.8 in4.3 in9.2 in18.5 in
Question
A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift. What is the maximum radius of the ball that Jimmy can wrap? Use 3.14 for π.Group of answer choices3.8 in4.3 in9.2 in18.5 in
Solution
To solve this problem, we need to use the formula for the surface area of a sphere, which is 4πr², where r is the radius of the sphere. We know that the surface area of the gift-wrapping paper is 232.2 sq. in.
Step 1: Set up the equation 4πr² = 232.2
Step 2: Substitute 3.14 for π 43.14r² = 232.2
Step 3: Simplify the equation 12.56*r² = 232.2
Step 4: Solve for r² r² = 232.2 / 12.56 r² = 18.48
Step 5: Solve for r by taking the square root of both sides r = √18.48 r = 4.3 inches
So, the maximum radius of the ball that Jimmy can wrap is 4.3 inches.
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