Question

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

Answer 1

Given:

A sphere whose radius has length 5 m.

Required:

(a) Approximate surface area in square meters

(b) Approximate volume in cubic meters.

Step-by-step explanation:

We know

`\begin{gathered} \text{ Area of sphere }=4\pi r^2 \\ \text{ Volume of sphere = }(4)/(3)\pi r^3 \end{gathered}`

We have radius = 5m

So,

`\begin{gathered} A=4\pi r^2 \\ A=4*\pi*5^2 \\ A=314.16\text{ }m^2 \end{gathered}`

And volume

`\begin{gathered} V=(4)/(3)\pi r^3 \\ V=(4)/(3)*\pi*5^3 \\ V=523.6\text{ }m^3 \end{gathered}`

Answer:

Area is 314.16 meter square and volume 523.56 meter cube.