Find the volume of the given shape. Round your answer to the nearest hundredth if necessary
1 answer:
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So you need to find the volume of the rectangular prism and the equation for that is V=l×w×h. If you plug those numbers in you'd get 9×12×23=2,484. If you multiply 2,484 by 
because you'd have to pour out of the water out so that it's only 
of the volume of water is left. 2,484×= 828mm.
<u>Given</u>:
Given that AB is a tangent to circle C.
The length of AB is (2r -1)
The length of AC is (r + 1) + r
The length of BC is r.
We need to determine the circumference of the circle C.
<u>Value of r:</u>
The value of r can be determined using the Pythagorean theorem.
Thus, we have;
Substituting the values, we have;
Simplifying, we have;
Expanding the terms, we get;
Simplifying the values, we have;
Adding both sides of the equation by 4r, we get;
Thus,
Since, the radius of the circle cannot be 0.
Hence, the radius of the circle is 8.
<u>Circumference of the circle:</u>
The circumference of the circle can be determined using the formula,
Substituting r = 8, we get;
Thus, the circumference of the circle is 16π
Hence, Option A is the correct answer.