Question

Hello!... Please answer this question.... (class 9)
The height of a cone is 16 cm and the base radius is 12 cm. find slant height of cone.​

Answer 1

$\large{\boxed{\boxed{\textsf {Let's Understand Question F1}^{\textsf{st}}}}}$

Here, we have given the height of cone and the radius of its base and have to find it's slant height.

$\large{\boxed{\boxed{\textsf {How To Do It?}}}}$

Here, we will simply apply the formula for finding slant height (Pythogoras Theorem) and substituting the given values in it we will got our required answer.

Let's Do It ⚡

$\huge{\underline{\boxed{\textsf {AnSwer}}}}$

____________________________

Given:-

• Height of cone = 16cm
• Radius = 12cm

Find:-

• Slant height of cone.

Diagram:-

$\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(12, -2.3){\tiny{\bf{r = 12cm}}}\put(6,9.7){\tiny{\bf{h = 16cm}}}\end{picture}$

$\pink{\sf Note:}$ $\underline{\red{\textsf{See this diagram from website.}}}$

Solution:-

Let, the slant height be 'l' cm

Now, using

$\begin{lgathered} \huge{\underline{\boxed{ \sf l^2 = h^2 + r^2}}} \\ \end{lgathered}$

$\begin{lgathered} \sf where \small{\begin{cases} \sf h = 16cm \\ \sf r = 12cm\end{cases}} \\ \end{lgathered}$

$\blue\bigstar$ Substituting these values:

$\begin{lgathered} \dashrightarrow\sf l^2 = h^2 + r^2 \\ \\ \end{lgathered}$

$\begin{lgathered} \dashrightarrow\sf l^2 = 16^2 + 12^2 \\ \\ \end{lgathered}$

$\begin{lgathered} \dashrightarrow\sf l^2 =256 +144 \\ \\ \end{lgathered}$

$\begin{lgathered} \dashrightarrow\sf l^2 =400 \\ \\ \end{lgathered}$

$\begin{lgathered} \dashrightarrow\sf l= \sqrt{400} \\ \\ \end{lgathered}$

$\begin{lgathered} \dashrightarrow\sf l=20cm\\ \\ \end{lgathered}$

$\begin{lgathered} \large{\underline{\boxed{\therefore\sf Slant \: Height \: of \: the \: cone \:is\:20cm}}} \\ \end{lgathered}$

Answer 2

Answer:

Hello!... Please answer this question.... (class 9)

The height of a cone is 16 cm and the base radius is 12 cm. find slant height of cone