We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

$V=\frac{4}{3}\pi r^3$ , where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be $\frac{15}{2}=7.5$ cm.

$\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3$

$\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3$

$\text{Volume of one candle}=1766.25\text{ cm}^3$

Now we will divide 70,650 cubic cm of wax by volume of one candle.

$\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}$

$\text{Number of candles}=\frac{70,650}{1766.25}$

$\text{Number of candles}=40$

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

8 0

3 years ago

Consider the two functions y=3/4x - 2 which statement is true?

jeka94

Answer:

Yes A is the correct answer

6 0

2 years ago

Is (3,-1) a solution of the graphed system of inequalities?

xeze [42]

Yes, (3,-1) is a solution to the graphed system of inequalities.

<h3>What are system of inequalities?</h3>

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.

As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).

So, the point will be a solution also because it lies in the shaded region.

Therefore, Yes, (3,-1) is a solution to the graphed system of inequalities.

Learn more about graphing inequalities here:

brainly.com/question/19598687

#SPJ1

6 0

2 years ago

Use the differential to approximate the expression. Then use a calculator to approximate the quantity, and give the absolute val

scoray [572]

9514 1404 393

Answer:

0.0056

Step-by-step explanation:

f(x) = √(49 +x)

f'(x) = 1/(2√(49 +x))

A linear approximation of f(x) expanded about x=0 is ...

f(x) ≈ f(0) + f'(0)x = 7 +x/(2·7)

Then for √53, we have x=4

f(4) ≈ 7 +4/14 = 7 2/7 . . . . . approximate √53 using differentials

The calculator value of √53 is about 7.280110, so the difference in results is ...

approx - actual ≈ 7.285714 -7.280110 = 0.005604 ≈ 0.0056

7 0

2 years ago