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1 year ago

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James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a radius of 222 cm.

One tray makes 666 spheres. What is the total volume of ice the tray can make at one time?

2 answers:

valina [46]1 year ago

8 0

You will use the formula for the volume of the sphere to find the volume of one ice cube.

I will use 2 cm as the radius.

V = 4/3 x pi x r^3
4/3 x 3.14 x 2^3
V = 33.49 cubic cm

The volume of 1 ice cube is approximately 33.49 cubic cm, so 6 would be 6 x 33.49.

The volume of 6 ice cubes is approximately 200.94 cubic centimeters.

Veseljchak [2.6K]1 year ago

8 0

Answer:

64π

Step-by-step explanation:

You might be interested in

A. One day Annie weighed 24 ounces more than Benjie, and Benjie weighed 3 1/4 pounds less than Carmen. How did Annie’s and Carme

Debora [2.8K]

<h2>Answer:</h2>

A.

Let Annie's weight be = a

Let Benjie's weighs = b

Let Carmen's weight be = c

One day Annie weighed 24 ounces more than Benjie, equation forms:

$a=b+24$ ......(1)

Benjie weighed 3 1/4 pounds less than Carmen.

In ounces:

1 pound = 16 ounces

$\frac{13}{4}$ pounds = $\frac{13}{4}\times16=52$ ounces

$b=c-52$ or

$c=b+52$ ......(2)

Now adding (1) and (2), we get

a+b=b+24+c-52

=> $a=c-28$

This gives Annie weighs 28 ounces less than Carmen.

B.

We cannot know anyone's actual weight, as we only know their relative weights.

3 0

2 years ago

Henry and walter open savings accounts at the same time. henry invests $6,500 at 4.54% simple interest, and walter invests $7,10

MatroZZZ [7]

$331.52 is the correct answer

7 0

2 years ago

Read 2 more answers

Suppose you roll a pair of honest dice. If you roll a total of 7 you win $22, if you roll a total of 11 you win $66, if you roll

JulijaS [17]

Answer:

The expected payoff for this game is -$1.22.

Step-by-step explanation:

It is given that a pair of honest dice is rolled.

Possible outcomes for a dice = 1,2,3,4,5,6

Two dices are rolled then the total number of outcomes = 6 × 6 = 36.

$\{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),\\(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),\\(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}$

The possible ways of getting a total of 7,

{ (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

Number of favorable outcomes = 7

Formula for probability:

$Probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

So, the possibility of getting a total of 7 = $\frac{6}{36}=\frac{1}{6}$

The possible ways of getting a total of 11,

{(5,6), (6,5)}

So, the probability of getting a total of 11 = $\frac{2}{36}$ = $\frac{1}{18}$

Now, other possible rolls = 36 - 6 - 2 = 36 - 8 = 28,

So, the probability of getting the sum of numbers other than 7 or 11 = $\frac{28}{36}$ = $\frac{7}{9}$

Since, for the sum of 7, $ 22 will earn, for the sum of 11, $ 66 will earn while for any other total loss is $11,

Hence, the expected value for this game is

$\frac{1}{6}\times 22+\frac{1}{18}\times 66-\frac{7}{9}\times 11$

$\frac{11}{3}+\frac{11}{3}-\frac{77}{9}$

$\frac{22}{3}-\frac{77}{9}$

$\frac{66-77}{9}$

$-\frac{11}{9}$

$-1.22$

Therefore the expected payoff for this game is -$1.22.

4 0

1 year ago

Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are

Cloud [144]

Answer:

9 feet

Step-by-step explanation:

Given:

The border of the garden is a right angled triangle.

Two lengths are given as 12 ft and 15 ft.

Let the length of the shortest timber be 'x' feet.

Now, in a right angled triangle, the longest length is called the hypotenuse.

As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

$(Leg1)^2+(Leg2)^2=(Hypotenuse)^2\\x^2+12^2=15^2\\x^2+144=225\\x^2=225-144\\x^2=81\\x=\pm \sqrt{81}=\pm 9$

The negative value is neglected as length can never be negative.

Therefore, the length of the shortest timber is 9 feet.

8 0

2 years ago

The length of life of an instrument produced by a machine has a normal ditribution with a mean of 12 months and standard deviati

Zielflug [23.3K]

Answer:

a) $P(X$

And we can find this probability using the normal standard distirbution or excel and we got:

$P(z$

b) $P(7$

And we can find this probability with this difference:

$P(-2.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-2.5$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

a) less than 7 months.

Let X the random variable that represent the length of life of an instrument of a population, and for this case we know the distribution for X is given by:

$X \sim N(12,2)$

Where $\mu=12$ and $\sigma=2$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard distirbution or excel and we got:

$P(z$

b) between 7 and 12 months.

$P(7$

And we can find this probability with this difference:

$P(-2.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-2.5$

8 0

1 year ago