the height of a cylinder is 80 cm and the diameter of its base is 7 cm. The whole surface area of the cylinder is
Answers
Step-by-step explanation:
The volume of a cylinder is found using the formula: V=π(r)2h where r = the radius of the base and h= the height of the cylinder . In this question, we are given the length, which is the height of the cylinder, and the diameter of the base. Since the length of the cylinder is essentially the height of the cylinder, h=80cm. In order to find the radius of the base given the diameter of the base, we use the formula: d=2r where d=diameter and r=radius. Therefore in solving for the radius, we find that it is half of the diameter: r=d2=72=3.5 cm.
Now that we determined the height and radius of the cylinder, we can find the volume of the cylinder by plugging this in formation into our formula: V=π(r)2h=π(3.5)2(80)=980π≈3078.761
Therefore the volume of the cylinder is 980π cm^3 or ≈3078.761 cm^3