All categories

2 years ago

Find the surface area of the ball shown. Use 3.14 for pie.

Mathematics

1 answer:

miskamm [114]2 years ago

7 0

Answer:

$\displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2}$

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

$\displaystyle S _{ \text{sphere}} = 4\pi {r}^{2}$

given that, redious is 17 cm

substitute:

$\displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2}$

simplify square:

$\displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289$

substitute the approximate value of π:

$\displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289$

simplify multiplication:

$\displaystyle S _{ \text{sphere}} =3629.84$

hence, the surface area of the sphere is 3629.84 cm²

You might be interested in

Which represents a function?

ollegr [7]

Answer:

Only the given table represents a function. Option 1 is correct.

Step-by-step explanation:

A relation is called a function, if there exist a unique value of y for each value of x. It means for each input there exist a unique output.

A function is always a relation but all relations are not function.

In the given table for each value of x, we have unique value of y, therefore the given table represents a function.

In second relation, at x=-2, the values of y are y=10 and y=-7. For single x, there are more than one value of y, therefore the second relation is not a function.

In third relation, at x=6, the values of y are y=-2 and y=1. For single x, there are more than one value of y, therefore the third relation is not a function.

5 0

3 years ago

Read 2 more answers

Which expression is equivalent to 3x+10−x+12 a.24x b.4x + 22 c.26x d.2x + 22

jok3333 [9.3K]

The answer is: [D]: 2x + 22 .
______________________________________________

8 0

3 years ago

Solving proportions

Archy [21]

If you crossed multiplied than got an equation than x=6 ( if that's what your looking for)

4 0

3 years ago

A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a s

user100 [1]

Answer:

The margin of error is of 0.73 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575\frac{1.7}{\sqrt{36}} = 0.73$

The margin of error is of 0.73 oz.

The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.

The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.

4 0

2 years ago

Write an equation of the line shown. Then use the equation to find the value of x when y=112

PtichkaEL [24]

Answer:

$y = 8x + 16$

$x = 12$

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format $y = mx + b$ .