what is the surface area of this sphere? round your answer to the nearest hundredth. 62 cm square…

what is the surface area of this sphere? round your answer to the nearest hundredth. 62 cm square centimeters submit

what is the surface area of this sphere? round your answer to the nearest hundredth. 62 cm square centimeters submit

Answer

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 62 cm. The radius ( r ) is half of the diameter, so ( r=\frac{62}{2} = 31 ) cm.

Step2: Use the formula for the surface area of a sphere

The formula for the surface area ( SA ) of a sphere is ( SA = 4\pi r^{2} ). Substitute ( r = 31 ) into the formula: ( SA=4\pi(31)^{2} ) First, calculate ( 31^{2}=961 ). Then, ( 4\times961 = 3844 ). So, ( SA = 3844\pi ). Using a calculator to approximate ( \pi\approx3.14159 ), we get ( SA\approx3844\times3.14159 \approx 12076.28 ) (rounded to the nearest hundredth).

Answer:

12076.28