Question

find the height of cone if its slant height is 34 cm and base radius 16 cm

Answer 1

Given 
slant height of cone = 34 cm 
Base radius = 16 cm 
To Find 
Height of the cone = ? 
Solution 
Let the height of the cone be x cm 
We know that 
( slant height )^2 = ( radius )^2 + ( height )^2
( 34 )^2 = ( 16 )^2 + x^2 
x^2 = 34^2 - 16^2 
x^2 = 1156 - 256
x^2 = 900 
Taking square root of bothe the side we get 
x = 30 cm ..
so the height of the cone is 30 cm 

Answer 2

Answer:

Step-by-step explanation:

Given

slant height of cone = 34 cm

Base radius = 16 cm

To Find

Height of the cone = ?

Solution

Let the height of the cone be x cm

We know that

( slant height )^2 = ( radius )^2 + ( height )^2

( 34 )^2 = ( 16 )^2 + x^2

x^2 = 34^2 - 16^2

x^2 = 1156 - 256

x^2 = 900

Taking square root of bothe the side we get

x = 30 cm ..

so the height of the cone is 30 cm