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Karolina [17]
2 years ago
8

4. The volume of a cylinder is 9.5 m cube, rounded to the nearest tenth of a cubic

Mathematics
1 answer:
Troyanec [42]2 years ago
6 0
<h3>Answer:  Choice D</h3>

====================================================

Explanation:

You'll have to go through each answer choice one by one to check if those dimensions lead to to a volume of roughly 9.5 m^3

For choice A, we have a radius of 0.7/2 = 0.35 meters and a height of 6.2 meters. The volume of the cylinder is pi*r^2*h = 3.14*(0.35)^2*6.2 = 2.38483 which rounds to 2.4 cubic meters. We can rule out choice A because we want 9.5 as a result instead of 2.4

We follow the same steps for choices B through D. You should find that choice D is the answer because:

V = pi*r^2*h = 3.14*(1.4/2)^2*6.2 = 9.53932 which rounds to 9.5 m^3.

Note the 1.4/2 is dividing the diameter 1.4 in half to get the radius.

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
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a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

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3 years ago
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Answer: c square

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Do you want me to do an entire 9 weeks of online school for you?

Step-by-step explanation:

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Shannon collects rainwater to water her flowers. She has one bucket with 3.4 gallons of water and another with 1.85 gallons less
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Answer:

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Step-by-step explanation:

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4 0
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Read 2 more answers
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
Anastasy [175]

Answer:

145 + 33n

Step-by-step explanation:

Let

n = number of members in the club

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Total cost two-day field trip = 145 + 33n

An expression that represents the total cost in dollars for two days for the n members of the club is given by 145 + 33n

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