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Which of the following can be used to calculate the volume of water inside the fish bowl?

Which of the following can be used to calculate the volume of water inside the fish-example-1
User Nick Bradbury
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1 Answer

8 votes
8 votes

The volume of a sphere can be calculated as


V=(4)/(3)\pi r^3

Where r is the radius of the sphere

We want to calculate half of the volume, then we must divide that volume by 2


V^(\prime)=(1)/(2)(4)/(3)\pi r^3

Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then


r=(AB)/(2)=(12)/(2)=6

Let's put it into our equation


\begin{gathered} V^(\prime)=(1)/(2)\left((4)/(3)\right)(\pi)(r)^3 \\ \\ V^(\prime)=(1)/(2)\left((4)/(3)\right)(\pi)(6)^3 \end{gathered}

The problem says to use


\pi\approx(22)/(7)

Then


V^(\prime)=(1)/(2)\left((4)/(3)\right)\left((22)/(7)\right)(6)^3

Final answer:

The formula that can be used to calculate the volume of water inside the fish bowl is


V=(1)/(2)\left((4)/(3)\right)\left((22)/(7)\right)(6)^3

User Angeant
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