In a museum there is a sculpture in the shape of a cylinder the cylinder has a diameter of 12 feet and a height of h feet which equation can be used to find v the volume of the cylinder in cubic feet

Respuesta :

Answer:

[tex]V=36 \pi h\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder (sculpture) is equal to

[tex]V=\pi r^{2}H[/tex]

In this problem we have

[tex]r=12/2=6\ ft[/tex] ----> the radius is half the diameter

[tex]H=h\ ft[/tex]

substitute the values

[tex]V=\pi (6^{2})(h)=36 \pi h\ ft^{3}[/tex]

Answer:

36πh cubic feet

Step-by-step explanation:

To find the volume of a cylinder  with a diameter of 12 feet and a height of h feet, we must know the formula for finding the volume of  a cylinder.

The volume V of a cylinder with a radius r and a height h is given as

V = πR^2h

where π = 22/7

Given that the radius of the given cylinder is 12 feet, the radius r

= 12/2 feet

= 6 feet

The volume v

= π * 6^2 * h

= 36πh cubic feet