The radius of the cylinder is 3.277cm
EXPLANATION
The volume of a cylinder can be calculated using the formula below:
[tex]V=\pi r^2h[/tex]where "V" is the volume of the cylinder.
"r" is the radius of the cylinder.
h is the height of the cylinder.
π is a constant that is equal to 22/7
From the question given;
Volume = 675cm
Height = 20 cm
Radius (r) = ?
Substitute the values into the formular and solve for r.
[tex]675=\frac{22}{7}\times r^2\times20[/tex][tex]675=\frac{440r^2}{7}[/tex][tex]440r^2=4725[/tex]Divide both-side of the equation by 440.
[tex]\frac{\cancel{440}r^2}{\cancel{440}}=\frac{4725}{440}[/tex][tex]r^2=10.7386[/tex]Take the square root of both-side of the equation.
r = 3.277 cm
Hence, the radius of the cylinder is 3.277cm.
