Question

the slant height of the frustum of a cone is 5cm. if the difference between the ratio of its two circular ends is 4cm , find the height of the frustum.

Answer 1

$\huge\bf{Answer:-}$

Refer the attachment.

Answer 2

$\underline{{\colorbox{yellow}{Question}}}$

we have to Find Height of the Frustum cone ...

$\bold{Given}\begin{cases}\sf{</strong><strong>Slant\</strong><strong>:</strong><strong>Height</strong><strong>=</strong><strong>5</strong><strong>c</strong><strong>m</strong><strong>}\\\sf{</strong><strong>R-r</strong><strong>=</strong><strong>4</strong><strong>c</strong><strong>m</strong><strong>}</strong><strong>\end{cases}$

$\LARGE\underline{\underline{\sf \red{S}\blue{o}\green{l}\orange{u}\pink{t}\purple{i}\orange{o}\red{n}:}}$

we know That,

slant Height of frutum cone is :---

$\large\red{\boxed{\sf</strong><strong> </strong><strong>l = \sqrt{((R - r)^{2}</strong><strong>+</strong><strong> </strong><strong>H</strong><strong>^{2}}</strong><strong>}}$

Putting Values we get,

(5)² = (4)² + (H)²

(H)² = 25 - 16

(H)² = 9

(H) = 3 cm ..

so, Height of Cylinder will be = $\bold{\boxed{\huge{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:</strong><strong>3</strong><strong>c</strong><strong>m</strong><strong>}}}}}}}}}}$