All categories

3 years ago

What is the volume of the cone shown above ? If H = 2 and R= 9

1 answer:

6 0

For this case, the first thing you should do is apply the following formula:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Substituting values we have:
V = (3.14 * (9 ^ 2) * 2) / (3)
V = 169.56
Rounding:
V = 169.6 units ^ 3
Answer:
the volume of the cone is:
B. 169.6 units cubed

You might be interested in

Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop

Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m= $\frac{-5--3}{-2--1}$

simplify

m= $\frac{-5+3}{-2+1}$

add

m= $\frac{-2}{-1}$

divide

m=2

So the slope is 2

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

-1=b (the value of the y intercept!)

Substitute -1 as b into the equation

y=2x-1

We found everything needed for this problem

Hope this helps!

8 0

3 years ago

Identify the coefficients, constants, terms and factors of 6x + 12- 3x + 4

andreyandreev [35.5K]

Answer: Review terms, factors, and coefficients, and try some practice problems. ... Terms. Terms are single numbers, variables, or the product of a number and variable. ... What is a variable? Terms ... So in the expression: 12x+ 19y -1, is the constant -1 or 1? ... In the term "4x", 4 would be the coefficient in the algebraic expression.

4 0

3 years ago

For what value of a does 9 = (StartFraction 1 Over 27 EndFraction) Superscript a + 3?

vodka [1.7K]

Answer:

Step-by-step explanation:

9 = (1/27)^(a+3)

3² = (3^-3)^(a+3)

3² = 3^(-3a-9)

2 = -3a-9

-3a = 11

a = -11/3

7 0

3 years ago

Please solve it I will give you 30 points

Aloiza [94]

Answer:

1. (2x^2+x-1)

Step-by-step explanation:

expanding (2x^2-1)^2. multiplying (x-2) (1-2x)

= 4x^2-4x+1. = x-2x^2-2+4x

= -2x^2+5x-2

(4x^2-4x+1-2x^2+5x-2)

=2x^2+x-1

8 0

3 years ago

Read 2 more answers

Solving Linear equations 25 =x + 19

soldi70 [24.7K]

Steps to solve:

25 = x + 19

~Subtract 19 to both sides

6 = x

Best of Luck!

3 0

3 years ago

Read 2 more answers