Answer:
A). Options (C) and (E)
B). 4.8 times
Step-by-step explanation:
Part A
Volume of cylinder (1) = πr²h
= π(6)²(5)
= 565.5 cubic inches
Volume of cone (1) = [tex]\frac{1}{3}\pi (r)^2h[/tex]
= [tex]\frac{1}{3}(\pi )(6)^2(5)[/tex]
= 188.5 cubic inches
Volume of cylinder (2) = πr²h
= π(6)²(15)
= 1696.5 cubic inches
Volume of cone (2) = [tex]\frac{1}{3}\pi (r)^2h[/tex]
= [tex]\frac{1}{3}\pi (6)^2(15)[/tex]
= 565.5 cubic inches
Volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
= [tex]\frac{4}{3}\pi (6)^{3}[/tex]
= 904.8 cubic inches
Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.
Options (C) and (E) are the correct options.
Part (B)
[tex]\frac{\text{Volume of sphere}}{\text{Volume of cone (1)}}[/tex] = [tex]\frac{904.8}{188.5}=4.8[/tex]
Therefore, volume of sphere is 4.8 times the volume of cone (1).
