The volume of a cylinder is 144π in^3 and the radius is 4 in what is the hight

Mathematics

2 answers:

sp2606 [1]3 years ago

7 0

The height of the cylinder is 2.86

Dennis_Churaev [7]3 years ago

5 0

Volume of a cylinder is the area of the base ( $\pi r^2$ ) multiplied by the height. If the radius is 4, that means that the base is 16 in2. To get the height, we simply need to divide 144 by 16 which gets us 9. The height is 9 inches

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4x + 1 = 5, find x assuming x is a whole number

levacccp [35]

Answer:

x=1

Step-by-step explanation:

4x+1=5

4x=5-1

4x=4

x=4/4=1

This happens to be a whole number.

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2 years ago

Which of these choices show a pair of equivalent expressions? Check all that apply.

AleksAgata [21]

The main rule we use in this exercise is

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and the more general case:

$( \sqrt[n]{a} ) ^{m} =( a^{ \frac{1}{n}} )^{m} = a^{ \frac{1}{n}*m}=a^{ \frac{m}{n}}$
Using these rules, we make all the indices, or exponents, look like $a^{ \frac{m}{n}}$ , and compare them to each other.

A. $( \sqrt{8} )^{9} = ( 8^{ \frac{1}{2}} )^{9} = 8^{ \frac{1}{2}*9}= 8^{ \frac{9}{2}}$

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C. $( \sqrt[3]{125} ) ^{7} =( 125^{ \frac{1}{3}} )^{7} = 125^{ \frac{1}{3}*7}= 125^{ \frac{7}{3}}$

D. $( \sqrt{12} ) ^{7} =( 12^{ \frac{1}{2}} )^{7} = 12^{ \frac{1}{2}*7}=12^{ \frac{7}{2}}$