Gabby1128

15.10.2019 •

Mathematics

How does the
concept of a
function and
function
notation
apply to
individual
units?

Solved

Show answers

Ответ:

klawess4

18.11.2020

Mathematics

The volume of sphere is $\boxed{\tt{3052.08}}$ units³.

Step-by-step explanation:

${\tt{\purple{\underline{\underline{\pink{SOLUTION \: : - }}}}}}$

Here's the required formula to find the volume of sphere :

${\implies{\pmb{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}}}$

$\green\star$ V = Volume $\green\star$ π = 3.14 $\green\star$ r = radius

Substituting all the given values in the formula to find volume of sphere :

${\implies{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}}$

${\implies{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14{(9)}^{3}}}}$

${\implies{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14{(9 \times 9 \times 9)}}}}$

${\implies{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14{(9 \times 81)}}}}$

${\implies{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14{(729)}}}}$

${\implies{\sf{Volume_{(Sphere)} = \dfrac{4}{\cancel{3}} \times 3.14 \times \cancel{729}}}}$

${\implies{\sf{Volume_{(Sphere)} = 4 \times 3.14 \times 243}}}$

${\implies{\sf{Volume_{(Sphere)} = 972 \times 3.14}}}$

${\implies{\sf{Volume_{(Sphere)} = 3052.08}}}$

$\star{\underline{\boxed{\sf{\red{Volume_{(Sphere)} = 3052.08 \: {units}^{3}}}}}}$

Hence, the volume of sphere is 3052.08 units³.

$\begin{gathered}\end{gathered}$

${\tt{\purple{\underline{\underline{\pink{EXTRA \: INFORMATION}}}}}}$

Some related formulae

$\green\star$ Surface area of sphere = 4πr² $\green\star$ Volume of cone = 1/3 πr²h $\green\star$ Area of circle = πr² $\green\star$ Circumference = 2πr $\green\star$ Diameter = 2 × Radius $\green\star$ Radius = Diameter/2 $\green\star$ Curved surface area of cone = πrl $\green\star$ Total surface area of cone = πrl + πr²h $\green\star$ Volume of cylinder = πr²h $\green\star$ Total surface area of cylinder = 2πrh + 2πr²

$\rule{300}{2.5}$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

How does the concept of a function and function notation apply to individual units?