Respuesta :
Answer:
Option B.
Step-by-step explanation:
Volume of cone is
[tex]V_1=\dfrac{1}{3}\pi r^2h[/tex]
where, r is radius and h is height of the cone.
Cup A is a cone with width 3 inches and height 6 inches. It means radius is 1.5 inches.
Substitute r=1.5 and h=6 in the above formula.
[tex]V_1=\dfrac{1}{3}\pi (1.5)^2(6)=14.137167\approx 14.14[/tex]
Volume of cylinder is
[tex]V_2=\pi r^2h[/tex]
where, r is radius and h is height of the cylinder.
Cup B is a cylinder with width 3 inches and height 5 inches.
Substitute r=1.5 and h=5 in the above formula.
[tex]V_2=\pi (1.5)^2(5)=35.342917\approx 35.34[/tex]
Difference between their volumes is
[tex]35.34-14.14=21.2[/tex]
It means cup B can hold 21.2 cubic inches more than cup A when both are completely full.
Therefore, the correct option is B.
