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VLD [36.1K]
3 years ago
10

A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for Pi. Round the answer to two d

ecimal places.) 32.71 Inches cubed 65.42 Inches cubed 196.25 Inches cubed 588.75 Inches cubed
Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0

Answer:

32.71 Inches cubed

Step-by-step explanation:

Let's recall the volume of the cone to be = 1/3πr³h

So using the formula.

r= 5

h = 2.5

I = 3.14

Volume = 1/3 * 3.14 * 5³ * 2.5

Volume = 327.1 in³

Stells [14]3 years ago
6 0

Answer:

V =\frac{1}{3} \pi r^2 h

And replacing we got:

V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3

And the best option would be:

65.42 Inches cubed

Step-by-step explanation:

For this case we have the following info given:

h =2.5 in represent the height of the cone

r = 5 in represent the radius

And the volume of the cone is given by;

V =\frac{1}{3} \pi r^2 h

And replacing we got:

V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3

And the best option would be:

65.42 Inches cubed

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Park two has 12 more benches than Park one. If 2 benches were transferred from Park two to Park one, then Park two would have 2
marta [7]

Answer:

There were 6 benches in park 1 and 18 benches in park 2.

Step-by-step explanation:

Let x be the no of benches in Park 1 and y in park 2.

Given that there are 12 more benches in park 2 than 1

Writing this in equation form, we have y = x+12 ... i

Next is if 2 benches were transferred from park 2 to park 1, then we have

x+2 in park 1 and y-2 in park 2.

Given that y-2 = twice that of x+2

Or y-2 = 2x+4 ... ii

Rewrite by adding 2 to both sides of equation ii.

y = 2x+6 ... iii

i-iii gives 0 = -x+6

Or x =6

Substitute in i, to have y = 6+12 = 18

Verify:

Original benches 6 and 18.

18 = 6+12 hence I condition is satisfied

18-2 = 2(6+2)

II is also satisfied.

6 0
2 years ago
Read 2 more answers
brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows​
Goryan [66]

Answer:

The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

Step-by-step explanation:

Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.

The general equation of slope-intercept form is: y=mx+b

First we need to find slope

The formula used for finding slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

We are given: x_1=-7, y_1=25, x_2=-4, y_2=13

Putting values in formula and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4

So, slope m= -4

Now finding y-intercept

Using slope m=-4 and point (-7,25) we can find y-intercept

y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3

So, y-intercept b =-3

Now, the equation of required line having slope m=-4 and  y-intercept b=-3 is:

y=mx+b\\y=-4x-3

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

3 0
2 years ago
PLEASE HELP!!! 20 POINTS!!!!
stealth61 [152]
To evaluate the expression all you have to do is substitute the value for the variable.

3 + y + 6, y = 5
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8 0
3 years ago
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Use the Distributive Property to simplify the expression. (8⋅7)+(8⋅5)
yawa3891 [41]

Answer:

56 + 40

Step-by-step explanation:

multiply what is in the parenthesis, don't solve all the way because the instructions say to <em>simplify</em><em>.</em>

7 0
2 years ago
What's -3+(0+9) ?? <br> I need to know by tonight
Crank
The answer is 6.
To do this, remember PEMDAS? 
You would first have to add what is in the parenthesis THEN do -3 + 9 to get 6. 
6 0
2 years ago
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