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Stolb23 [73]
2 years ago
10

Find the volume of the cone. Round your answer to the nearest tenth. A cone is shown. Its height is 3 meters and the diameter of

the base is 6 meters. The volume of the cone is about a cubic meters.
Mathematics
1 answer:
Effectus [21]2 years ago
6 0

Answer:

The answer to this question should be 28.3

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(Calculus help, 25 points, will give brainliest) Find the sum of the sigma notation below.
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\displaystyle\sum_{i=3}^{10}(2i-9)=2\sum_{i=3}^{10}i-9\sum_{i=3}^{10}1

Recall that

\displaystyle\sum_{i=1}^n1=n

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Your sums start at i=3, so in order to apply these formulas directly, you need to compensate for the missing first two terms:

\displaystyle\sum_{i=3}^{10}1=\sum_{i=1}^{10}1-(1+1)=10-2=8

\displaystyle\sum_{i=3}^{10}i=\sum_{i=1}^{10}i-(1+2)=\frac{10\cdot11}2-3=52

\implies\displaystyle\sum_{i=3}^{10}(2i-9)=2\cdot52-9\cdot8=\boxed{32}

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