Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) fou
1 answer:
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
<h3>Volume of composite object</h3>The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
<u>For the outer sphere:</u>
V = 4/3π(20)³
<u>For the inner sphere:</u>
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
Learn more on volume of sphere here: brainly.com/question/10171109
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Option D
The sum of two irrational numbers is always rational is false statement
<em><u>Solution:</u></em>
<h3><u>The sum of two rational numbers is always rational</u></h3>"The sum of two rational numbers is rational."
So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
For example:
rational number + rational number = rational number
Hence this statement is true
<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.
Any other situation, however, of a rational times an irrational will be irrational.
A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."
So this statement is correct
<h3><u>The product of two rational numbers is always rational</u></h3>The product of two rational numbers is always rational.
A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0
Any integer is a rational number because it can be written in p/q form.
Hence it is clear that product of two rational numbers is always rational.
So this statement is correct
<h3><u>The sum of two irrational numbers is always rational</u></h3>"The sum of two irrational numbers is SOMETIMES irrational."
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
Thus this statement is false
Answer:
Step-by-step explanation:
a = -4/3
d= -1 +4/3 =1/3
last term = 4 1/3 = 13/3
nth term = a +(n-1)d
Middle terms are 9the term and 10th term