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

A sink is shaped like a half sphere,as shown in the diagram. Find it’s approximate-example-1

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3 votes

Answer: C. 2,508 cubic inches

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

A sink is shaped like a half sphere,as shown in the diagram. Find it’s approximate-example-1
User Lppier
by
8.7k points
3 votes

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

User Thatsmydoing
by
8.5k points

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