Answer:
quantity of juice the glass holds = 124.74 ml
height of cylinder = 3 cm
Step-by-step explanation:
given, diameter of conical glass = 8.4 cm
⇒ radius = 4.2 cm, height = 9 cm
volume of cone = [tex]\frac{1}{3}[/tex]πr²h
volume of conical glass = [tex]\frac{1}{3}[/tex] × [tex]\frac{22}{7}[/tex] × 4.2² × 9
= 166.32 cm³
given, the glass is 75% filled
volume of juice = [tex]\frac{75}{100}[/tex] × 166.32 = 124.74 cm³
quantity of juice the glass holds = 124.74 ml
volume of cylinder = πr²h
given, diameter of cylinder = diameter of conical glass = 8.4 cm
⇒ radius = 4.2 cm
to find: height of the cylinder (H)
volume of cylinder = volume of cone
⇒ πr²H = [tex]\frac{1}{3}[/tex]πr²h
⇒ H = [tex]\frac{1}{3}[/tex] height of conical glass = [tex]\frac{9}{3}[/tex] = 3 cm
height of cylinder = 3 cm