Answer:
Answer: The height of the cylindrical barrels are given as follow:
a) when diameter=40cm, height= 79.5cm
b) when diameter is 45cm, height=62.9cm
c) when diameter is 50cm, height =50.9
d) when diameter is 55cm, height=42.1cm
How do we find the Height of a cylinder?
A cylinder is a 3-D solid shape. It can also be refered as a prism with circle base. The volume of a cylinder is given as V= πr^2h
where r = radius and h = height.
From the question all the barrels have the same volume of 100L
100L=100×1000)cm^3= 100000cm^3
For the first barrel with diameter 40cm
Radius = diameter/2= 40/2= 20cm
V= πr^2h
1000= 22/7 ×20^2× h
h = 7000000/(400×22)
h= 79.5cm
for the second barrel, thesame procedure is followed.
V= πr^2h
r=d/2=45/2=22.5cm
h= 700000/(506.25×22)
h= 62.9cm
for the third barrel,
r=d/2=50/2= 25
h= 700000/(625×22)
h= 50.9cm
for the fourth barrel,
r=55/2= 27.5cm
h= 700000/(756.25×22)
h= 42.1cm
Note: all values of height calculated are approximated to 1 decimal place
learn more about the volume of a cylinder
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