Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for pie. Enter your answers rounded to the nearest hundredth.

Two cylinders are shown below Find the volume of each cylinder Use 314 for pie Enter your answers rounded to the nearest hundredth class=

Respuesta :

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.

What is the volume of a right circular cylinder?

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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