Question

find slant height if the height is 15cm and the radius is 6cm

Answer 1

$\Huge{\boxed{\red{\mathbb{QUESTION}}}}$

Find the stant height. If the height is 15 cm and the radius is 6 cm.

$\Huge{\boxed{\pink{\mathcal{ANSWER}}}}$

$\bold{Given\:that,}$

Height = 15 cm

Radius = 6 cm

$\bold{To\:find,}$

Stant height (l) = ?

$\bold{We\:know\:that,}$

$hy = \sqrt{AB^2 + BC^2}$

$l = \sqrt{h^2 + r^2}$

$l = \sqrt{(15)^2 + (6)^2}$

$l = \sqrt{225 + 36}$

$l = \sqrt{261}$

$l = 16.15\:cm\:(approx)$

$\Huge{\boxed{\purple{\mathscr{L = 16.15\:cm}}}}$

Answer 2

Answer: 16.15 cm

Step-by-step explanation

Slant height (l) = ?

Radius (r) = 6cm

Height (h) = 15cm

We know,

l = √h*h +r*r

l = √15*15 + 6*6

l = √225+36

l = √261

l = 16.15

Therefore, the slant height is 16.15 cm

Thank you