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2 years ago

Volume of spheres and cones

Mathematics

2 answers:

Stella [2.4K]2 years ago

7 0

Each shape is a different size so just tell me the sizes and I will be happy to help

sergey [27]2 years ago

4 0

Answer:

The correct answer is option b. 523.333 cub in

Step-by-step explanation:

Volume of Sphere = (4/3)πr³

r - radius of sphere

To find the volume of sphere

From the figure we get,

diameter d = 10 in

radius r = d/2 = 10/2 = 5 in

Volume = (4/3)πr³ = (4/3) * 3.14 * (5)³ = 523.333 cub in

Therefore the correct answer is option b. 523.333 cub in

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2 years ago

Allison bought jelly beans to share with her friends. She bought pounds of blueberry jelly beans and pounds of lemon jelly beans

Vaselesa [24]

Answer: $1\dfrac{11}{12}\text{ pounds}$

Step-by-step explanation:

The complete question is provided in the attachment.

Given, Amount blueberry jelly beans= $1\dfrac{1}{4}$ pounds

$=\dfrac{5}{4}$ pounds.

Amount lemon jelly beans = $2\dfrac{1}{3}$ pounds

$=\dfrac{7}{2}$ pounds

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Amount of jelly beans she has left= Total jelly beans - Amount of jelly beans she gave away

= $\dfrac{43}{12}-\dfrac{5}{3}\\\\=\dfrac{43-20}{12}\\\\=\dfrac{23}{12}\\\\=1\dfrac{11}{12}\text{ pounds}$

She has left $1\dfrac{11}{12}\text{ pounds}$ of jelly beans.

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2 years ago

Suppose c was a total membership cost for m the two equations that model c are c=30m+50 an c=20m+100

Maksim231197 [3]

Answer:

5 months

Step-by-step explanation:

Given

$c = 30m + 50$

$c = 20m + 100$

Required [Missing from the question]

At what month will the cost be equal

To do this, we equate both expressions

$c = c$

This gives:

$30m + 50 = 20m + 100$

Collect like terms

$30m - 20m = 100 - 50$

$10m = 50\\$

Solve for m

$m = \frac{50}{10}$

$m = 5$

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2 years ago