35.0k views
1 vote
Help its due in 5 hours. And I haven’t got the answer right for 2 hours.

Help its due in 5 hours. And I haven’t got the answer right for 2 hours.-example-1

1 Answer

3 votes

\text{Volume=}12.41n^2inches^3

Step-by-step explanation

the volume of a cone is given by:


\text{Volume}=(1)/(3)\pi\cdot r^2\cdot h

Step 1

find the radius:

let

Circumference= 6n inches

radius= r


\begin{gathered} \text{Circumference = 2 }\cdot\pi\cdot radius \\ \text{replace} \\ 6n\text{ inches=2}\cdot\pi\cdot\text{ r} \\ \text{divide both sides by 2}\pi \\ \frac{6n\text{ }}{2\pi}\text{=}\frac{\text{2}\cdot\pi\cdot\text{ r}}{2\pi} \\ so \\ r=\frac{6n\text{ }}{2\pi}=(3n)/(\pi) \\ r=(3n)/(\pi) \end{gathered}

Step 2

apply the formula for the volume of the cone:

let

h=13 inhces


\begin{gathered} r=(3n)/(\pi) \\ h=13\text{ inches} \end{gathered}

replace.


\begin{gathered} \text{Volume}=(1)/(3)\pi\cdot r^2\cdot h \\ \text{Volume}=(1)/(3)\pi\cdot(\frac{3\text{ n}}{\pi})^2\cdot13 \\ \text{Volume}=(1)/(3)\pi((9n^2))/(\pi^2)\cdot13 \\ \text{Volume}=(3n^2)/(\pi)\cdot13 \\ \text{Volume}=(39n^2)/(\pi)in^3 \end{gathered}

so, the answer is


\begin{gathered} \text{Volume}=(39n^2)/(\pi)in^3 \\ \text{Volume}\approx(39n^2)/(\pi)in^3 \\ \text{Volume=}12.41n^2inches^3 \end{gathered}

I hope this helps you

Help its due in 5 hours. And I haven’t got the answer right for 2 hours.-example-1
User Jookia
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories