Question

The volume of a sphere is 1,476pi meters cubed what is the surface area ? directions please

Answer 1

1,334.8 m^2 is the correct answer. 

Answer 2

Answer:
`427.6624\pi\text{ square meters}`

Explanation:

Given: The volume of sphere =
`1,476\pi \text{meters}[\tex] </p><p></p><p><strong>The volume of sphere is given by :-</strong></p><p>[tex]V=(4)/(3)\pi r^3`, where r is the radius of the sphere.

`(4)/(3)\pi r^3=1476\pi\\\\\Rightarrow\ r^3=(1476*3)/(4)\\\\\Rightarrow\ r^3=1107\\\\\Rightarrow\ r=(1107)^{(1)/(3)}\\\\\Rightarrow\ r=10.3446517211\approx10.34`

Surface area of sphere is given by :-

`S.A.=4\pi r^2\\\\\Rightarrow\ S.A. =4\pi(10.34)^2\\\\\Rightarrow\ S.A. =427.6624\pi\text{ square meters}`