Answer:
Volume of the cylinder(V) is given by:
\(V = \pi r^2h\)
where,
r is the radius and h is the height of the cylinder respectively.
As per the statement:
A cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height.
⇒ h = 6 meter
and
\(\text{diameter} = 6 \times h = 6 \times 6 = 36 m\)
We know that:
\(\text{Diameter} = 2r\)
⇒\(36 = 2r\)
Divide both sides by 2 we have;
\(18 m = r\)
or
r = 18 m
Use: \(\pi = 3.14\)
Substitute the given values we have;
\(V = 3.14 \cdot 18^2 \cdot 6\)
⇒\(V = 6,104.16 m^3\)
Therefore, the volume of the cylinder is, 6,104.16 \(m^3\)
