Answer:
[tex]\text{Volume of sphere}\approx 1436.03[/tex] cubic units.
[tex]\text{Volume of cylinder}=2154.04[/tex] cubic units.
Step-by-step explanation:
We have been given that a sphere has a diameter of 14 units. We are asked to find the volume of our given sphere.
[tex]\text{Volume of sphere}=\frac{4}{3}\pi r^3[/tex], where r represents the radius of sphere.
First of all, let us divide the diameter of sphere by 2 to find the radius of our given sphere.
[tex]\text{Radius of sphere}=\frac{14}{2}=7[/tex]
[tex]\text{Volume of sphere}=\frac{4}{3}*3.14*7^3[/tex]
[tex]\text{Volume of sphere}=\frac{4}{3}*3.14*343[/tex]
[tex]\text{Volume of sphere}=\frac{4308.08}{3}[/tex]
[tex]\text{Volume of sphere}=1436.02666\approx 1436.03[/tex]
Therefore, the volume of sphere is 1436.03 cubic units.
[tex]\text{Volume of cylinder}=\pi r^2h[/tex], where,
r = Radius of cylinder,
h = Height of cylinder.
Upon substituting our given values in above formula we will get,
[tex]\text{Volume of cylinder}=\pi*7^2*14[/tex]
[tex]\text{Volume of cylinder}=3.14*49*14[/tex]
[tex]\text{Volume of cylinder}=2154.04[/tex]
Therefore, the volume of cylinder is 2154.04 cubic units.
