If the total surface area of a sphere is 5544 cm 2, find the diameter of the sphere.
42 cm
Equate s.a of sphere to 5544 square cm .
Radius square is equal to 441
Good responses
To solve this problem, we can use the formula for the surface area of a sphere:
Surface area (A) = 4πr^2
Where A is the surface area of the sphere and r is its radius.
However, since the problem provides the surface area in terms of cm^2, we need to convert it into the appropriate units.
Given that the surface area is 5544 cm^2, we can now set up the equation as follows:
5544 cm^2 = 4πr^2
Now, we can solve for the radius (r).
Dividing both sides of the equation by 4π, we get:
r^2 = 5544 cm^2 / (4π)
r^2 ≈ 442.695 cm^2 / (π)
r^2 ≈ 140.42 cm^2
Taking the square root of both sides, we find:
r ≈ √(140.42 cm^2)
r ≈ 11.842 cm
Finally, to find the diameter (d) of the sphere, we double the radius:
d = 2r
d = 2(11.842 cm)
d ≈ 23.684 cm
Therefore, the diameter of the sphere is approximately 23.684 cm.