Answer:
Volume of right circular cylinder(V) is given by:
[tex]V = \pi r^2h[/tex] ......[1]
where,
r is the radius of the cylinder
h is the height of the cylinder.
As per the statement:
A right circular cylinder with a diameter at 46.25 cm and a height of 18.5 m
⇒diameter(d) = 46.25 cm and height(h) = 18.5 cm
We know that:
diameter(d) = 2r
then;
[tex]46.25 = 2r[/tex]
Divide both sides by 2 we have;
[tex]23.125 = r[/tex]
or
r = 23.125 cm
Substitute these given values in [1] we have;
Use [tex]\pi = 3.14[/tex]
[tex]V = 3.14 \cdot (23.125)^2 \cdot 18.5[/tex]
⇒[tex]V = 31,064.5351 cm^3[/tex]
Therefore, the volume of a right circular cylinder to the nearest hundredth is, 31,064.54 cubic centimeters.
