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3 years ago

How do I find the volume of a sphere when I only have the circumference?

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

Step-by-step explanation:

Circumference of a circle is C = 2π r.

Volume of a sphere is V = 4/3 π r³.

Use the circumference to find the radius. Then use the radius to find the volume.

Or, you can find volume as a function of radius:

r = C / (2π)

V = 4/3 π (C / (2π))³

V = 4/3 π (C³ / (8π³))

V = 1/6 C³ / π²

V = C³ / (6π²)

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Riley and Rhoda plan to buy 2 bags of dog of food and a dog collar (x). Each bag of dog food costs $7 and the dog collar costs $

Sergio [31]

Let:

T = Total money they have

Dc = Dog collar

x = Number of bags of food

$\begin{gathered} 2x+Dc\le T \\ 2x+4.5\le30 \end{gathered}$

Let's solve the inequality:

$\begin{gathered} 2x+4.5\le30 \\ \text{subtract 4.5 from both sides:} \\ 2x+4.5-4.5\le30-4.5 \\ 2x\le25.5 \\ x\le\frac{25.5}{2} \\ x=12.75\approx12 \end{gathered}$

This means that they can buy 12 bags of food at most.

Since they plan to buy 2 bags of food:

$\begin{gathered} 2(7)+4.5\le30 \\ 14+4.5\le30 \\ 18.5\le30 \end{gathered}$

This means they can do it and have $ 11.5 to spare

7 0

1 year ago

An art club sells 42 large candles and 56 small candle price of large candle is $10 the cost is $x a small candles cost $5 and c

balandron [24]

Answer:

Profit = $(700 - 42x - 56y)

Step-by-step explanation:

For large candles, the selling price is $10 and its making cost is $x.

So, by selling a large candle the profit is $(10 - x)

Again for small candles, the selling price is $5 and its making cost is $y.

So, by selling a small candle the profit is $(5 - y)

Therefore, in a sell of 42 large candles and 56 small candles the total profit will be, P = 42 (10 - x) + 56 (5 - y)

⇒ P = 420 - 42x + 280 - 56y {Applying distributive property}

⇒ P = $(700 - 42x - 56y) (Answer)

4 0

3 years ago

I need help, my teacher didn't really explain it well. Help the best you can :)

Inessa [10]

Step-by-step explanation:

hey,u need help with what?

4 0

3 years ago

Read 2 more answers

HIJK is a rectangle. HJ=x and IK=2x-7 Find the length of each diagonal

laila [671]

The diagonals of a rectangle are congruent so set them equal to each other to get x = 2x - 7. isolate the variable (0 = x - 7 — x = 7) to get x = 7. the diagonals are seven.

3 0

3 years ago

WORTH 50 points pls answer.<br> The two polygons are similar. Find the values of x and y

Digiron [165]

Answer:

y = 120

x = 10.6

Step-by-step explanation:

Given polygons are parallelograms.

In parallelograms, consecutive angles are supplementary which means their sum is equal to 180.

Since two parallelograms are similar:

60 + y = 180 subtract 60 from both sides

y = 120

To find the value of x:

side lengths are proportional because these are similar polygons

$\frac{x+4}{22} = \frac{12}{18}$ cross multiply fractions

18x + 72 = 264 subtract 72 from both sides

18x = 192 divide both sides by 18

x = 10.6 approximately

6 0

2 years ago