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3 years ago

What is the volume of a hemisphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

volume of the hemisphere ≈1577.5 cm³

Step-by-step explanation:

To find the formula for calculating the volume of a hemisphere, we will follow the steps below:

write the formula for calculating the volume of a hemisphere.

volume of a hemisphere = volume of a sphere ÷2

= $\frac{4}{3}$ πr³ ÷ 2

= $\frac{2}{3}$ πr³

WHERE r is the radius

from the question given, radius= 9.2 cm

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the equation

volume of a hemisphere = $\frac{2}{3}$ πr³

= $\frac{2}{3}$ × 3.14 ×9.2³

= $\frac{2}{3}$ × 3.14 ×753.571

≈1577.5 cm³ to the nearest tenth of cubic centimeter

volume of the hemisphere ≈1577.5 cm³

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Please help!

aksik [14]

Answer:

reflection, then translation
rotation, then translation

Step-by-step explanation:

When the points designating each triangle are considered in order, they are seen to be in clockwise order. Segment FG is oriented to the west, while corresponding segment VW is oriented to the east. This means the figure could have been rotated 180° or reflected across a point. Either way, some translation may be necessary to align the figures as shown.

Possible transformations include ...

reflection across a point, then translation (depending on the location of the point)
rotation 180° about a point, then translation (depending on the location of the point)

___

If one of the triangles is reflected across the midpoint of GW, it will coincide with the other triangle. Hence only one reflection across a chosen point is required. Of course, reflection across a point is identical to rotation 180° about that point. For any other point of reflection or rotation, translation will be involved.

8 0

3 years ago

Read 2 more answers

PLEASE HELP?! I️ GOT TONS OF HW DUE TOMORROW MORNING! Translate 75% of 266 to an equation, and then solve.

notka56 [123]

75% equals .75
Therefore,
$.75 \times 266$
The awnser equals
$199.5$

4 0

4 years ago

The function f(x) = x2 - 6x + 9 is shifted 5 units to the left to create g(x). What is g(x)?

creativ13 [48]

Answer:

g(x) = x^2 + 4x + 4

Step-by-step explanation:

In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.

Given the function;

f(x) = x2 - 6x + 9

a shift 5 units to the left implies that we shall be adding the constant 5 to the x values of the function;

g(x) = f(x+5)

g(x) = (x+5)^2 - 6(x+5) + 9

g(x) = x^2 + 10x + 25 - 6x -30 + 9

g(x) = x^2 + 4x + 4

3 0

3 years ago

Write an equation in point-slow form for the line through the given point with the given slope.

timofeeve [1]

It's a because the form is y-y1=m(x-x1) and of you put the given information in it will be y+1=-(x+10)

5 0

3 years ago

Just question 1, please.

ANTONII [103]

Step-by-step explanation:

We can start by writing an equation to describe the data set. For 2D data, one equation form we can use is y=m*x + b, where x is the input and y is the output. Since yuan are put in and dollars are put out, x represents yuan and y represents dollars in this instance.

To find the equation, we can start by plugging in two points, such as (50, 1.25) and (100, 7.5). The slope, or m, is equal to the change in y/change in x, or

(7.5-1.25)/(100-50) = 6.25/50

= 0.125. This means that for each yuan put in, 0.125 dollars come out, according to the formula.

Next, we must find b. Plugging 0.125 in for m and taking a set of points, such as (50, 1.25), we get

1.25 = 50(0.125) + b

1.25 = 6.25 + b

subtract both sides by 6.25 to isolate the b

-5 = b

Therefore, we can write our equation as

y = 0.125 * x - 5

In this equation, there is an exchange rate of 0.125, meaning that for each yuan put in, 0.125 dollars are coming out. The -5 symbolizes that for each transaction, 5 yuan are being lost, which is the fee for exchanging money.

To check if the equation works, we can try it for options such as (200, 20) and (250, 26.25). This does work, so we can move forward with our equation.

For (c), our equation is y = 0.125 * x - 5, with the y representing dollars, x representing yuan, 0.125 representing the exchange rate, and -5 representing the fee for exchaning mone

For (b), because 5 yuan are subtracted from the exchange rate for each transaction, it is fair to assume that there is a fee for exchanging money. There is a fee of 5 yuan per transaction. In dollars, using the exchange rate of 0.125 dollars per yuan, this is equal to 0.625 dollars

For (a), the exchange rate is 0.125 dollars per yuan. We know this because for each yuan put in, 0.125 dollars are coming out after taking into account the fee

6 0

3 years ago