44. The volume of a sphere is 2,098 m3. What is the surface area of the sphere to the nearest tenth? (1 point)
1,700 m2
146.2 m2
850 m2
26,364 m2
To find the surface area of a sphere, we can use the formula:
Surface Area = 4 * π * r^2
where π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.
We are given the volume of the sphere, but we need to find the radius (r) in order to calculate the surface area.
The volume formula for a sphere is given by:
Volume = (4/3) * π * r^3
We know that the volume of the sphere is given as 2,098 m^3. So we have:
2,098 = (4/3) * π * r^3
Now we can solve for r by rearranging the equation:
r^3 = (3/4) * (2,098 / π)
Taking the cube root of both sides of the equation, we get:
r = (3/4) * (2,098 / π)^(1/3)
Now we can substitute this value of r into the surface area formula to find the surface area:
Surface Area = 4 * π * ( (3/4) * (2,098 / π)^(1/3) )^2
Calculating this expression will give us the surface area of the sphere. Rounding the result to the nearest tenth will give us the final answer.
v = 4/3 πr^3
so, r = ∛(3v/4π)
a = 4πr^2
= 4π ∛(9v^2/16π^2)
= 4π∛(9*2098^2/16π^2)
= 792.54
Hmmm. Typo somewhere?