An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch
1 answer:
Answer:
11.781 cubic inches (round accordingly)
Step-by-step explanation:
The formula for the volume of a cone is:
where r is the radius and h is the height.
For our ice cream cone:
d = 3 inches
r = 1.5 inches (the radius is half of the diameter)
h= 5 inches
So all we have to do is plug in our values and solve for the volume:
So our final answer is around 11.8 cubic inches.
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The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑
We have to find the values of x for which the series converges.
We know,
∑ converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑ is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
For more information about convergence of series, visit
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