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2 years ago

Find the radius of a sphere with a volume of 4.5π cubic centimeters.

Mathematics

1 answer:

Nutka1998 [239]2 years ago

4 0

1.02 is the answer to your question

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A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E

Triss [41]

Answer:

The volume of cylinder is:

49806.06 ft^3

Step-by-step explanation:

We are given a right circular cylinder with:

Height(h)= $22\frac{1}{4}ft=\dfrac{89}{4}ft$

and a diameter is $2\frac{2}{5}$ times it's height.

i.e. $\dfrac{12}{5}$ times it height.

i.e. the diameter is given as:

$\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.$

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

$\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}$

The volume(V) of cylinder is given by:

$V=\pi r^2h$

$V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3$

Hence, the volume of cylinder is:

49806.06 ft^3

7 0

3 years ago

The price of 10 citrons and 7 fragrant wood apples is 55 units. The price of 7 citrons and 10 fragrant wood apples is 64 units.

a_sh-v [17]

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Further explanation:

Let x be the price of one citron and

y be the price of one fragrant

Then according to given statement

10x+7y = 55 Eqn 1

7x+10y = 64 Eqn 2

Multiplying equation 1 by 7

$7(10x+7y) = 7(55)\\70x+49y=385$

This will be equation 3.

Multiplying equation 2 by 10

$10(7x+10y) = 10(64)\\70x+100y=640$

This will be equation 4.

Subtracting equation 3 from equation 4

$70x+100y - (70x+49y) = 640-385\\70x+100y-70y-49y = 255\\51y = 255\\\frac{51x}{51} = \frac{255}{51}\\x = 5\\Putting\ x=5\ in\ equation\ 1\\10(5)+7y = 55\\50+7y = 55\\7y = 55-50\\7y = 5\\\frac{7y}{7} =\frac{5}{7}$

So,

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Keywords: Linear Equations, Solving system of linear equations

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago

Emily spent half of her weekly allowance playing mini-golf. To earn

myrzilka [38]

Emily’s weekly allowance would be $7.

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2 years ago

11 = x/2 - 7 Solve The equation

Novay_Z [31]

Answer: I think the Answer is 36 Let me know if i'm Right.

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1 year ago

Using the diagram, name a segment parallel to EH. A. CD B. AD C. GH D. BF

natima [27]

A segment parallel to EH is AD

answer
B. AD

4 0

2 years ago