Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
Answer:
You already did the question.
Step-by-step explanation:
What's there to simplify?
5+7 = 5+7
It's just recursive.
Answer:
The answer is -3
Step-by-step explanation:
First of all we find the difference -4-2 = -(4+2) and than we add the numbers answer is -6 .
4÷2=
And than we simplify this fraction to 2 and find the answer -3. <em>I</em><em> </em><em>w</em><em>o</em><em>u</em><em>l</em><em>d</em><em> </em><em>b</em><em>e</em><em> </em><em>g</em><em>l</em><em>a</em><em>d</em><em> </em><em>i</em><em>f</em><em> </em><em>y</em><em>o</em><em>u</em><em> </em><em>c</em><em>h</em><em>o</em><em>o</em><em>s</em><em>e</em><em> </em><em>m</em><em>y</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>b</em><em>e</em><em>s</em><em>t</em><em>.</em><em> </em><em>G</em><em>o</em><em>o</em><em>d</em><em> </em><em>l</em><em>e</em><em>s</em><em>s</em><em>o</em><em>n</em><em>s</em><em> </em><em>♡</em>
1035.33156649 meters high is the helicopter flying over the building.
Given that, an observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation.
We need to find how high is the helicopter flying over the building.
<h3>How to find the height of the building using trigonometry?</h3>
To measure the heights and distances of different objects, we use trigonometric ratios.
Here, use the Tangent rule to calculate the height of the building.
tan(angle) = opposite/adjacent
Now, tan 49°=h/900
⇒h=1035.33156649 meters
Therefore, 1035.33156649 meters high is the helicopter flying over the building.
To learn more about the angle of elevation visit:
brainly.com/question/21137209.
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Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.