the perimeter of the base of a right circular cylinder is 44 cm. and height is 10 cm then find the volume of cylinder
Answers
Answer:
We know that 2 pi*r = 44, where r is the radius of the circular cross section of the cylinder. So r = 22/pi = 22/3.1416 = 7.0028
The volume of a cylinder is the area of the circular cross section times the height of the cylinder or pi*r^2*h where h is the height. In this case it is…
pi*(22/pi)^2*7 = [(22)^2/pi]*7 =(484/pi)*7 = 1078.43 cc
Step-by-step explanation:
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Answer:
The volume of the cylinder is 1540cm³.
Step-by-step explanation:
From the above question
Parameters given are:
Perimeter of a circular cylinder= 44cm
Height= 10cm
To Find:
Volume=?
Concepts to think:
- Perimeter is already given, so we can find the radius using the formula of the perimeter.
- Knowing the forma of the volume of the cylinder.
Now,
As we know the formula of the perimeter, which is as follows:
P= 2πr
P= 44cm
π= 22/7
r(radius)= ?
44= 2×22/7×r
44÷2= 22/7×r
22= 22/7×r
Therefore, r= 22×7÷22
= 7
r= 7
Coming to the question asked,
Volume=?
As we know formula of the volume of the cylinder:
V= πr²h
V= volume
π= 22/7
r²= 7²
h= height
V= 22/7×7²×10
= 22/7×7×7×10
Pi's seven and radius's seven cancels out, leaving;
= 22×7×10
= 1540cm³
volumes unit should always be in cubes
Thus, the volume of the cylinder is 1540cm³
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