Answer:
It is measure that height of smaller cone = 6 unit
Step-by-step explanation:
From the figure it is given as,
Slant height of larger cone = L = 8+5 = 13 unit
Slant height of smaller cone = l = 8 unit
Radius of larger cone = R = 5 unit
Let the height of larger cone = H unit
And the height of smaller cone =h unit
Now, clearly from figure, h = [tex]\frac{H}{2}[/tex]
From slant height formula
L² = H² + R²
Or, 13² = H² + 5²
Or, H² = 13² - 5²
or, H² = 169 - 25 = 144
∴ H = √144 = 12 unit
Hence Height of smaller cone = h = [tex]\frac{H}{2}[/tex]
h = [tex]\frac{12}{2}[/tex]
Or, h = 6 unit
Hence It is measure that height of smaller cone = 6 unit Answer
