Question

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

Answer 1

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

Step-by-step explanation:

Given: The volume of sphere = $1,476\pi \text{meters}[\tex] The volume of sphere is given by :-[tex]V=\dfrac{4}{3}\pi r^3$, where r is the radius of the sphere.

$\dfrac{4}{3}\pi r^3=1476\pi\\\\\Rightarrow\ r^3=\dfrac{1476\times3}{4}\\\\\Rightarrow\ r^3=1107\\\\\Rightarrow\ r=(1107)^{\frac{1}{3}}\\\\\Rightarrow\ r=10.3446517211\approx10.34$

Surface area of sphere is given by :-

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

Answer 2

1,334.8 m^2 is the correct answer.