Answer:
The radius of the sphere, to the nearest cm:
cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
- The surface area of sphere A = 5024 cm²
The radius of the sphere can be determined such as
![A\:=\:4\pi r^2](https://tex.z-dn.net/?f=A%5C%3A%3D%5C%3A4%5Cpi%20r%5E2)
![r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}](https://tex.z-dn.net/?f=r%5C%3A%3D%5C%3A%5Cfrac%7B1%7D%7B2%7D%5Csqrt%7B%5Cfrac%7BA%7D%7B%5Cpi%20%7D%7D)
Plug in Surface Area of sphere = 5024, π = 3.14 in the formula
![\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:](https://tex.z-dn.net/?f=%5C%3Ar%5C%3A%3D%5C%3A%5Cfrac%7B1%7D%7B2%7D%5Csqrt%7B%5Cfrac%7B5024%7D%7B3.14%7D%7D%5C%3A%5C%3A)
cm
Therefore, the radius of the sphere, to the nearest cm:
cm
Answer:
The lower bound of 19.4 is 19.35