Answer: 4.95 yd³
Step-by-step explanation:
The volume of a cylinder can be calculated with the following formula. This formula is the area of the base (a circle) times the height.
V = πr²h
We are given the diameter of the cylinder. Half of this is equal to the radius. We will divide it by two.
[tex]\displaystyle 1\frac{1}{2} \; \; \div \; \;2 = \frac{3}{4}[/tex]
Next, substitute our given values.
[tex]\displaystyle V = \pi(\frac{3}{4} )^2(\frac{14}{5} )[/tex]
Square.
[tex]\displaystyle V = \pi(\frac{9}{16} )(\frac{14}{5} )[/tex]
Multiply.
[tex]\displaystyle V = \pi(\frac{126}{80} )[/tex]
Divide.
[tex]\displaystyle V = \pi(1.575)[/tex]
Multiply.
[tex]\displaystyle V \approx 4.948008429 \approx 4.95\; \text{yd}^3[/tex]
