Answer:
8.38 yd³
Step-by-step explanation:
Use volume of a cylinder formula: [tex]\pi r^2h[/tex]
where r is the radius and h is the height.
Radius = half of diameter = 24 ÷ 2 = 12 ft
Height = 6 in
We need to express the answer in yards, so first convert radius and height to yards:
1 yard = 3 ft = 36 in
⇒ Radius = 12 ft = 4 yards
⇒ Height = 6 in = 1/6 yards
Substituting these values into the volume of a cylinder formula:
[tex]\pi r^2h[/tex] = [tex]\pi[/tex] x 4² x 1/6
= [tex]\frac{8}{3} \pi[/tex]
= 8.38 yd³ (nearest hundredth)
