Question

The volume of a sphere is 3,0001 m. What is the surface area of the sphere to the nearest square meter?

Answer 1

Answer:

503 m²

Step-by-step explanation:

Step 1:  Determine the radius of the sphere from the volume-of-a-sphere formula V = (4/3)πr³:  Here, V = 3,000 m³ = (4/3)πr³.  We divide both sides by (4/3)π to obtain r³:  

        3,000 m³        9,000 m³

r³ = ------------------ = ----------------- = 716.20 m³

           (4/3)π                4π

The surface area is A = 4πr².  We can obtain r² by raising both sides of r³ = 716.20 m³ to the power (2/3):

r² = [r³]^(2/3) = r²     and      716.20^(2/3).  Then:

r² = 80.05 m².

Then the surface area is A = 2πr² = 2π(80.05 m²) = 503 m² (to the nearest square meter)

Answer 2

Answer:

approximately 21484

Step-by-step explanation:

Volume= 4/3 pi r^3

30001= 4/3 pi r^3

solve for r to get 41.34747142

Then, use surface area formula

SA= 4pi r^2

SA=4pi(41.34747142)^2

SA= 21483.6355