The volume of a sphere is 4,000pie m^3. What is the surface area of the sphere to the nearest square meter?

Answer 1

volume = (4/3) π r^3
area =4 π r²

so 4000 π = 4/3 π r^3
r^3 =3000
r=10 ³√3

area =4π r² = 4 π 100 (³√3)² =400³√9 π = 2613.91 m²
≈2614 m²

Answer 2

The volume of a sphere is 4/3 π r³
The surface area of a sphere is 4 π r²

You are given the volume. Use this to solve for r, then use that value to compute the surface area.

Answer 3

The volume of a sphere is 4/3 π r³
The surface area of a sphere is 4 π r²

4/3 π r³ = 4000π
4/3 r³ = 4000
r = 14.4224957 m

The surface area of a sphere is 4 π r²
4 π ( 14.4224957 )²
surface area = 2613.910423 m²
Approx . 2614 m²

Answer 4

The formula for the quantity of a sphere is 4/3 pi r^3 you need to use this relationship and the quantity given interior the undertaking to sparkling up for r, and understanding the radius of the sector, you could particularly calculate the exterior if 4/3 pi r^3=3000pi then 4 r^3=9000 r^3=9000/4 the formula for the exterior of a sphere is 4 pi r^2 so, sparkling up for r, plug into the exterior equation, voila