For a sphere whose radius has length 5 m, find the following. Use the calculator value of . (Round your answers to two decimal places.)(a)approximate surface area in square metersm2(b)approximate volume in cubic metersm3

For a sphere whose radius has length 5 m find the following Use the calculator value of Round your answers to two decimal placesaapproximate surface area in squ class=

Respuesta :

Given:

A sphere whose radius has length 5 m.

Required:

(a) Approximate surface area in square meters

(b) Approximate volume in cubic meters.

Explanation:

We know

[tex]\begin{gathered} \text{ Area of sphere }=4\pi r^2 \\ \text{ Volume of sphere = }\frac{4}{3}\pi r^3 \end{gathered}[/tex]

We have radius = 5m

So,

[tex]\begin{gathered} A=4\pi r^2 \\ A=4\times\pi\times5^2 \\ A=314.16\text{ }m^2 \end{gathered}[/tex]

And volume

[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\times\pi\times5^3 \\ V=523.6\text{ }m^3 \end{gathered}[/tex]

Answer:

Area is 314.16 meter square and volume 523.56 meter cube.