Question 21 (1 point)
Find the surface area of a sphere, given that its diameter is 32 inches. Approximate pi at 3.14. Round your answer to the nearest tenth.
Final Answer: The surface area of the sphere is approximately \(\boxed{3215.4}\) square inches.
Step 1 :The diameter of the sphere is given as 32 inches. The radius of the sphere is half the diameter, so the radius is \(\frac{32}{2} = 16\) inches.
Step 2 :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 radius value into the formula: \(4\pi (16)^2\).
Step 4 :Calculate the surface area: \(4\times 3.14\times 16^2 = 3215.36\) square inches.
Step 5 :Round the surface area to the nearest tenth to get \(3215.4\) square inches.
Step 6 :Final Answer: The surface area of the sphere is approximately \(\boxed{3215.4}\) square inches.