Answer:
The correct answer is 6.61 gallons.
Step-by-step explanation:
A marble-top bathroom sink has the shape of a hemispherical (a half-sphere) porcelain bowl with an inside diameter of 18 inches.
Radius of the hemisphere is 9 inches.
Volume of hemisphere is [tex]\frac{2}{3}[/tex] × π × [tex]r^{3}[/tex] = [tex]\frac{44}{21}[/tex] × [tex]9^{3}[/tex] = 1527.4285 cubic inches.
Also 1 cubic inches = 0.004329 gallons
⇒ 1527.4285 cubic inches = 1527.4285 × 0.004329 = 6.61 gallons.
Thus the bowl can hold 6.61 gallons of water.
