The volume of the cone is a. 7,560 cm³.
Step-by-step explanation:
Step 1:
The volume of a cone is determined by multiplying [tex]\frac{1}{3}[/tex] with π, the square of the radius (r²) and height (h).
Here we substitute π as 3.1415.
The volume of the cone[tex]= \frac{1}{3} \pi r^{2} h.[/tex]
Step 2:
The diameter of the cone is 38 cm so the radius is 19 cm. The height is 20 cm.
The volume of the cone[tex]= \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415) (19^{2}) (20),[/tex]
The volume of the cone = [tex]\frac{1}{3} (22,681.63) = 7,560.5433.[/tex]
The volume of the cone is 7,560.5433 cm³ which if rounded off is equal to option a.
