Answer:
Diameter = 8.46 m.
Step-by-step explanation:
Given : cone with height 8 m and volume 150m³.
To find : What is the diameter of a cone .
Solution : We have height of cone = 8 m
Volume of cone = 150 m³.
Volume of cone = pi * r² * [tex]\frac{h}{3}[/tex].
Where , r= radius , h = height.
Plugging the values of h and volume
150 = 3.14 * r² * [tex]\frac{8}{3}[/tex].
On multiplying by 3 both side
450 = 3.14 * r² * 8
450 = 25 .12 * r²
On dividing by 25.12 both side
[tex]\frac{450}{25.12}[/tex] = r²
17.91 = r²
Taking square root both side
r = 4.232
Diameter = 2 * radius.
Diameter = 2* 4.23
Therefore, Diameter = 8.46 m.
