Answer:
Option C. 2508 cubic inches is the correct answer
Explanation:
From the figure we can see that, a sink
Points to remember
Volume of hemisphere = (2/3)πr³
Where 'r' is the radius
To find the volume of large hemisphere
Here radius = 13 in
Volume V₁ = (2/3)πr³
= (2/3) * 3.14 * 13³
= 4599.33 cubic inches
To find the volume of small hemisphere
Here radius = 13 - 3 = 10 in
Volume V₂ = (2/3)πr³
= (2/3) * 3.14 * 10³
=2093.33 cubic inches
To find the volume of sink
Volume = V₂ - V₁
= 4599.05 - 2093.33
=2505.72 ≈ 2508 cubic inches
Option C. 2508 cubic inches is the correct answer