All categories

3 years ago

What is the approximate volume of a cone with a height of 12 in. and radius of 9 in.?

1 answer:

8 0

Volume of the cone = 1/3π r^2 h
So, we are given that r = 9 and h = 12
plugging in all the known values
1/3 * (3.14) * 9 * 9 * 12
= 1017.36 cm³
or
≈1017.4 cm³

You might be interested in

What is the inverse of f(x)=2^x

GuDViN [60]

Answer:

Step-by-step explanation:

$f(x)=2^x$

$y = {2}^{x}$

$x = {2}^{y}$

${2}^{y} = x$

$ln( {2}^{y} )=ln(x)$

$yln(2)=ln(x)$

<h3> $\frac{yln(2)}{ln(2)} = \frac{ln(x)}{ln(2)}$ </h3><h3> $y = \frac{ln(x)}{ln(2)}$ </h3><h3> ${f}^{ - 1} (x) = \frac{ln(x)}{ln(2)}$ </h3><h3>Hope it is helpful...</h3>

3 0

3 years ago

How many diagonals can be constructed from one vertex of an n-gon? State your answer in terms of n and, of course, justify your

Rasek [7]

Polygon Diagonals. The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides. For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3).

3 0

3 years ago

Which statement describes the translation of y = −one half (x − 2)2 − 2 from standard position?

kaheart [24]

A quadratic in vertex form can be represented as

$y = a(x-h)^{2} +k$

a represents reflection over the x-axis, and a vertical stretch or compress
- is reflection and a fraction (1/2) represents a compression.

-h represents a shift of that many units to the right (-2 shifts to the right two units)

k represents a shift up or down (-2 is shifting down 2 units_

Reflected over the x-axis, Vertically compressed by a factor of 1/2, shifted 2 units to the right, and shifted 2 units down

5 0

3 years ago

What is the range for this data set?<br>37 years<br>9 years<br>41 years

rewona [7]

Answer:

30 years

Step-by-step explanation:

41 minus 11=

6 0

3 years ago

A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?

Dmitry [639]

Answer:

The correct answer is option A. 90°

Step-by-step explanation:

<u>Points to remember</u>

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes on it.

<u>To find the measure of <XYZ</u>

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

3 0

3 years ago

Read 2 more answers