Question

find the height of cone , if the slant height is 17cm and base diameter 16 cm.find the height of cone , if the slant height is 17cm and base diameter 16 cm.

Answer 1

Step-by-step explanation:

here,

slant height(l)=17cm

diameter=16cm

radius (r)=16/2=8cm

for height,

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

$17 {}^{2} = h {}^{2} + 8 {}^{2}$

$289 = h {}^{2} + 64$

$289 - 64 = h {}^{2}$

$225 = h {}^{2}$

$15 = h$

therefore height of the cone is 15 cm.

Answer 2

The height of the cone is 15 cm

Explanation:

Given: Slant height of the cone is 17 cm and base diameter 16 cm.

To find: Height of the cone

Solution:

Here, base diameter is 16 cm. So, radius of the cone is $\frac{16}{2}=8$ cm

Now, we know that

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

$\implies h^{2} =l^{2} -r^{2}$

$\implies h=\sqrt{l^{2} -r^{2} }$

$\implies h=\sqrt{17^{2} -8^{2} }$

$\implies h=\sqrt{289 -64 }$

$\implies h=\sqrt{225 }$

$h=15$ cm

Hence, the height of the cone is 15 cm.

Learn more:

Height and slant height of a cone

https://brainly.in/question/8666365