1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
- Volume of Cylinder = πr²h
- Volume of Sphere = 4/3πr³
Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
brainly.com/question/64165
The value of k is 60
131 - 11 = 120
120/2 = 60
hope this helped !
Answer:
Step-by-step explanation:
Here, we have the known angle sandwiched between two known sides.
So, we have SAS.
And we want to find the side opposite to the angle.
Therefore, we can use the Law of Cosines:
Again, it is important what we substitute.
a and b are the two side lengths. So, we will substitute 8 for a and 13 for b.
C is our angle. So, substitute 64 for C.
And c is what we’re trying to solve.
Therefore:
Simplify:
Add:
Take the square root of both sides:
Use a calculator. So, c is approximately:
The c is our y. So, y is approximately 11.9 units.
Answer:
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Step-by-step explanation:
