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klemol [59]
3 years ago
5

A trap to catch fruit flies uses a cone in a jar. The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centi

meters (cm.)
a. What is the volume of the​ cone? Write your answer in terms of pi.
b. Explain why an answer in terms of pi is more accurate than an answer that uses 3.14 for pi.
Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Answer:

120 pi

Step-by-step explanation:

a. 1/3pi(6)^2(10)

just plug them into the calculator using pi.

b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.

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Answer:

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Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

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Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

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7 0
2 years ago
Read 2 more answers
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