Question

the radius and height of a cone 3.5 cm and 12cm respectively. the slant height is​

Answer 1

Answer:

It is in a wrong category

Answer 2

Answer:

12.5cm

Explanation:

Given :

Radius = 3.5cm

Height = 12cm

To Find :

Slant height (l) = ?

Formula Used :

l² = h² + r²

Procedure :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: {l}^{2} = {h}^{2} + {r}^{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: {l}^{2} = {(12)}^{2} + {(3.5)}^{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: {l}^{2} = 144 + 12.25$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: {l}^{2} = 156.25$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: {l}^{2} = \sqrt{156.25}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: l = 12.5cm$

Slant height = 12.5cm.

What you need to know?

• A cone is a hollow shape with a circular base and a point at the top.

• The square of slant height sums up to the square of height and radius.

• Volume of cone is given by :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: v = (\pi)( {r}^{2} ) \dfrac{h}{3}$

• Area of cond is given by :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: \: a = \blue{ \bigg(}\orange{ \big(}(\pi)(r) \orange{\big)} (r + \sqrt{ {h}^{2} + {r}^{2}) } {\blue{ \bigg)}}$