Question

What is the surface area of the sphere to the nearest tenth

Answer 1

Given:

The volume of the sphere is

`V=1928\pi m^3`

Required:

We need to find the surface area of the sphere.

Step-by-step explanation:

Consider the volume of the sphere formula.

`V=(4)/(3)\pi r^3`
`Substitute\text{ }V=1928\pi\text{ in the formula.}`
`1928\pi=(4)/(3)\pi r^3`
`Multiply\text{ both sides by }(3)/(4\pi)\text{ of the equation.}`
`1928\pi*(3)/(4\pi)=(4)/(3)\pi r^3*(3)/(4\pi)`
`1446=r^3`

Take cube root on both sides of the equation.

`r=11.31`

Consider the surface area formula.

`S=4\pi r^2`

Substitute r =11.31 in the formula.

`S=4*3.14*(11.31)^2`
`S=142.05`
`S=142.1m^2`

Final answer:

The surface area of the sphere is

`142.1m^2`