Problem

A beach ball is in the shape of a sphere with radius 4.5 feet. Find the volume and surface area, round your answer to two decimal places.
Surface Area = square feet
Volume $=$ cubic feet

Answer

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Answer

Final Answer: The volume of the beach ball is \(\boxed{381.7}\) cubic feet and the surface area is \(\boxed{254.47}\) square feet.

Steps

Step 1 :Given a beach ball in the shape of a sphere with radius 4.5 feet.

Step 2 :The formula for the volume of a sphere is \(\frac{4}{3} \pi r^3\) and the formula for the surface area of a sphere is \(4 \pi r^2\), where r is the radius of the sphere.

Step 3 :Substitute the given radius into the formulas to calculate the volume and surface area.

Step 4 :The volume of the beach ball is \(\frac{4}{3} \pi (4.5)^3\) cubic feet and the surface area is \(4 \pi (4.5)^2\) square feet.

Step 5 :Simplify to find that the volume of the beach ball is approximately 381.7 cubic feet and the surface area is approximately 254.47 square feet.

Step 6 :Final Answer: The volume of the beach ball is \(\boxed{381.7}\) cubic feet and the surface area is \(\boxed{254.47}\) square feet.

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