the volume of a cylinder is 11 yd and 15 yd
The formula for volume of a CYLINDER is V=(area of the base) x (height of prism)
USE 3.14 for PI and DO NOT ROUND
Part 1: Find the area of the CIRCLE BASE of the CYLINDER: Area = __ yd^2
Part 2: What is the height of the cylinder? __ yd
Part 3: Find the volume of the cylinder using V=(area of the base) x (height of prism) = __ yd^3
Part 1:
To find the area of the circle base, we use the formula for the area of a circle, A = πr^2.
Given the diameter of the cylinder is 11 yd, the radius would be half of that, which is 11/2 = 5.5 yd.
So, the area of the circle base would be A = 3.14 x (5.5)^2 = 3.14 x 30.25 = 95.03 yd^2
Part 2:
To find the height of the cylinder, we use the formula for the volume of a cylinder, V = (area of the base) x (height of prism).
Given that the volume of the cylinder is 15 yd^3 and the area of the base is 95.03 yd^2, we can rearrange the formula to find the height:
height = V / area of the base
height = 15 / 95.03
height = 0.1578 yd
Part 3:
The volume of the cylinder can be calculated using V = (area of the base) x (height of prism).
V = 95.03 x 0.1578 = 15 yd^3
Therefore, the volume of the cylinder is 15 yd^3.