Given cos theta is equal to - 4/ 7 then we can conclude that theta is in the second and third quadrants. In this case, the other leg is equal to square root of (7^2 - 4^2 ) equal to square root of 33. In this case, sin theta can be equal to +- square root of 33 / 7 and tan theta is equal to +-square root of 33 / 4.
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We need to change all fractions to have a common denominator
Lets see:
Multiples of 2: 2 , 4 , 6 , 8 , 10 , 12
Multiplies of 3: 3 , 6 , 9 , 12
Multiplies of 4: 4 , 8, 12
The common denominator is 12
2 x 6 = 12
3 x 4 = 12
4 x 3 = 12
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=

We need to add the numerators while keeping the same denominator
=

=
The cosine of angle X is

By the Pythagorean theorem, we have

Then

Multiplying numerator and denominator by 2, we get
.
Answer:
26in cylinder
Step-by-step explanation
A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. ~26in cylinder. Inside the container there is empty space not taken up by the volleyball.