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
Answer:
9.8 Cubed
9.8 cubed, (9.8)3, is the number you get when multiplying 9.8 times 9.8 times 9.8.
It can also be looked at as exponentiation involving base 9.8 and exponent 3.
The term is usually pronounced 3rd power of 9.8 or 9.8 to the third power.
The cube of 9.8 is an imperfect cube because 941.192 is the product of the three equal numbers 9.8 which contain decimals.
It can be written as 9.8 × 9.8 × 9.8 or in exponential form.
Read on to learn everything about the number (9.8)³.
Number: 9.8
Number Cubed: 941.192
Step-by-step explanation:
hope this helps...
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Hello! And thank you for your question!
First we are going to expand the equation:
<span>−2<span>m^<span><span>2</span><span></span></span></span>−2mn+8m−10m+10n+nm+4<span>n<span><span>^2</span><span></span></span></span>−5n
Then we are going to combine like terms:
</span><span><span>−2<span>m<span><span>^2</span><span></span></span></span>+(−2mn+mn)+(8m−10m)+(10n−5n)+4<span>n<span><span>^2</span><span></span></span></span></span>
</span>
Then finally, simplify:
−2<span>m<span><span>^2</span><span></span></span></span>−mn−2m+5n+4<span>n<span>^<span>2
Final Answer:
</span></span></span>
−2m^2−mn−2m+5n+4n^2
Step-by-step explanation:
4 (1 – 3x) + 4x = -100
4-12x+4x=-100
-12x+4x=-100-4
-8x=-104
x=-104/-8
x=13
Answer:
2,099,000
Step-by-step explanation: