Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for pie. Enter your answers rounded to the nearest hundredth.
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Given:
For cylinder P: radius = 4.25 in. and height = 14 in.
For cylinder Q: radius = 7 in. and height = 8.5 in.
To find:
The volume of each cylinder.
Solution:
Volume of a cylinder is
[tex]V=\pi r^2h[/tex]
where, r is radius and h is height. Use 3.14 for [tex]\pi[/tex].
Using the above formula, the volume of cylinder P is
[tex]V_P=(3.14)(4.25)^2(14)[/tex]
[tex]V_P=794.0275[/tex]
[tex]V_P\approx 794.03[/tex]
Using the above formula, the volume of cylinder Q is
[tex]V_Q=(3.14)(7)^2(8.5)[/tex]
[tex]V_Q=1307.81[/tex]
Therefore, the volume of cylinder P is 794.03 sq. in. and volume of cylinder Q is 1307 sq. in.
The volume of cylinder P is 794.03 sq. in. and the volume of cylinder Q is 1307 sq. in.
Suppose that the radius of the considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The given information is
For cylinder P:
radius = 4.25 in. and height = 14 in.
For cylinder Q:
radius = 7 in. and height = 8.5 in.
To find the volume of each cylinder.
The volume of a cylinder
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
where r is radius and h is height.
Using the above formula,
the volume of cylinder P
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
[tex]V = 3.14 \times (4.25)^2 \times 14 \: \rm unit^3\\\\V = 794.03[/tex]
The volume of cylinder Q
[tex]V = \pi r^2 h \: \rm unit^3\\\\V = 3.14 \times 7^2 \times 8.5 \: \rm unit^3\\\\V =1307.81[/tex]
Therefore, the volume of cylinder P is 794.03 sq. in. and the volume of cylinder Q is 1307 sq. in.
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