Question

A cone
has area of base as 154 cm²
and height
10 cm. find it stant height.​

Answer 1

Answer:

10.59 cm

Step-by-step explanation:

l^2=r^2+h^2

l is equal to under root r square + h square

Answer 2

Question:-

• A cone has area of base as 154 cm² and height 10 cm. find it stant height.

Given:-

• Area of base 154 cm²
• Height is 10 cm

To find:-

• Slant height

Solution:-

We will find the radius first,

$➥\pi \: r = 154 {cm}^{2}$

$➥ \frac{22}{7} \times r = 154 \:$

$➥ \: r = \frac{154 \times 7}{22}$

$➥r = 49 \: cm$

$\large{ \boxed{ \underline{ \mathfrak{ \pink{Therefore \: r \: is \: 49 \: cm.}}}}}$

$\bf \: Formula \: to \: find \: slant \: height :-$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ➥s = \sqrt{( {r}^{2} + {h}^{2}) }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ➥ \sqrt{( {49)}^{2} + ( {10})^{2} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ➥ \sqrt{(2,401 + 100)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ➥ \sqrt{2501}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ➥50.00 \: \: cm$

Therefore the slant height is 50.00 cm