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

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)

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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step-by-step explanation:

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