What is the volume, in cubic m, of a rectangular prism with a height of 17m, a width of 14m, and a length of 11m?

What’s the exact volume of the figure?

Anna11 [10]

Answer:890.12 cm^3

Step-by-step explanation:

The formula for the volume of a cylinder is

$V=\pi *r^2*h$

V=628.3185307 cm^3

or simply

V=628.32 cm^3

Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.

Next, the formula for the volume of a sphere is

$V=\frac{4}{3} \pi *r^3$

so the volume of a hemisphere is half of that or:

$V=\frac{2}{3} *\pi *r^3$

V= 261.7993878 cm^3

or simply

V=261.80 cm^3

Finally, you add both of the volumes together to get

V= 890.1179185 cm^3

or simply

V=890.12 cm^3

8 0

3 years ago

Suppose a firm in a competitive market earned $1,000 in total revenue and had a marginal revenue of $10 for the last unit produc

aleksklad [387]

Answer:

$5 and 50 units

Step-by-step explanation:

5 0

3 years ago

A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.24 lb, the mean of all of the weight

Vladimir [108]

Answer:

a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) $Z = 2.91$

d) We have that $Z = 2.91 > 2$ , so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

$Z = \frac{X - \mu}{\sigma}$

In which: X is the weight we are going to find the z-score of, $\mu$ is the mean of all the weights and $\sigma$ is the standard deviation of all the weights.

The problems gives these following informations:

The highest weight is 5.24 lb

The mean of all the weights is 1.932 lb

The standard deviation of all the weights is 1.135 lb

a. What is the difference between the weight of 5.24 lb and the mean of the weights?

$D = 5.24lb - 1.932lb = 3.308lb$

b. How many standard deviations is that [the difference found in part (a)]?

The difference found in (a) is 3.308lb.

This can be calculated by a simple rule of three.

1 standard deviation - 1.135lb

x standard deviations - 3.308lb

$1.135x = 3.308$

$x = \frac{3.308}{1.135}$

$x = 2.91$

That difference is 2.91 standard deviations.

c. Convert the weight of 5.24 lb to a z score.

We have that:

$X = 5.24, \mu = 1.932$ and $\sigma = 1.135$ . So:

$Z = \frac{X - \mu}{\sigma} = \frac{5.24 - 1.932}{1.135} = 2.91$

3 0

3 years ago

A square tile has a side length of 12 cm. What is the area of the tile?

Lesechka [4]

Step-by-step explanation:

Area of square =side×side

=12×12

=144cm^2

Hope this helped! :)

7 0

3 years ago

Determine the domain of the following graph:

Sati [7]

Answer:

x is greater than or equal to -7 but less than 9.

Step-by-step explanation:

Find the lowest and higest points on the graph.

Remember the domain is on the x - axis.

The lowest point on the graph is -7, but the dot is filled in so it must be equal to it.

The next step is that the graph is getting larger so it is greater than or equal to.

On the other side of the graph do the same but it is less than not equal because the dot is open.

8 0

4 years ago