The sphere area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for pi. Round your answer to the nearest hundredth.

Respuesta :

We are given

area of sphere is 200.96cm^2

it means that we are given surface area

so, we can use surface area formula

[tex] S=4\pi r^2 [/tex]

where S is surface area

r is radius

so, firstly we need to find radius or r

[tex] 200.96=4\pi r^2 [/tex]

we can solve for r

[tex] r=3.9989cm [/tex]

now, we can find volume

[tex] V=\frac{4}{3} \pi r^3 [/tex]

we can plug r

[tex] V=\frac{4}{3} \pi (3.9989)^3 [/tex]

now, we can find volume

[tex] V=267.86cm^3 [/tex].............Answer

Answer:

267.95

Step-by-step explanation:

i did the number thing