Answer:
volume of a cylinder = [tex]\pi r^2h[/tex] (where r is the radius and h is the height)
diameter = [tex]2r[/tex] (where r is the radius)
A) volume of Cup A = [tex]\pi \times 5^2\times20=500\pi \textsf{ cm}^3[/tex]
B) Assuming the volume of the punch bowl is [tex]\dfrac{130000}{3}\pi \textsf{ cm}^3[/tex]
[tex]\implies \dfrac{130000}{3}\pi \div 500\pi=\dfrac{260}{3}=87 \textsf{ (nearest whole number)}[/tex]
C) volume of Cup B = [tex]\pi \times 10^2\times20=2000\pi\textsf{ cm}^3[/tex]
D) Assuming the volume of the punch bowl is [tex]\dfrac{130000}{3}\pi \textsf{ cm}^3[/tex]
[tex]\implies \dfrac{130000}{3}\pi \div 2000\pi=\dfrac{65}{3}=22 \textsf{ (nearest whole number)}[/tex]
