The volume of a sphere is 2,098 m3. What is the surface area of the sphere to the nearest tenth? (1 point)
do you times this by 3.14?
1,700 m^2 I believe
(4/3) pi r^3 = 2098
r = 7.9416
4 pi r^2 = 792.5 m^2
To find the surface area of a sphere, you need to know its volume. However, the given information states the volume of the sphere, not its radius or diameter. So, before calculating the surface area, we need to find the radius of the sphere.
The formula for the volume of a sphere is:
V = (4/3) * π * r^3
Given that the volume V is 2,098 m^3, we can rearrange the formula and solve for r:
2,098 = (4/3) * π * r^3
Dividing both sides by (4/3) * π, we get:
r^3 = 2,098 / [(4/3) * π]
Simplifying further:
r^3 = 2,098 / (4/3) * (3.14)
r^3 = 2,098 / 4.1866667
r^3 ≈ 501.87722
Taking the cube root of both sides, we find:
r ≈ 8.6
Now that we have the radius, we can calculate the surface area of the sphere using the formula:
A = 4 * π * r^2
Substituting the radius r = 8.6, we get:
A = 4 * 3.14 * (8.6)^2
A ≈ 927.7164
Therefore, to the nearest tenth, the surface area of the sphere is approximately 927.7 square meters.
The volume of a sphere is 2,098 m3. What is the surface area of the sphere to the nearest tenth?
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