Asink is shaped like a half sphere, as shown in the diagram. find it’s approximate volume, ignoring the space occupied by the drain

Option C.   2508 cubic inches is the correct answer

Step-by-step 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

C. 2,508 cubic inches

Step-by-step explanation: I got this right on Edmentum.