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elena-14-01-66 [18.8K]
3 years ago
15

What is the volume of the composite figure? Express the answer in terms of π.

Mathematics
2 answers:
topjm [15]3 years ago
8 0

Answer:

312π mm³

Step-by-step explanation:

Given:

Oblique cone height, h = 14 mm

radius of half sphere = base radius of cone, r = 6 mm

Recall the volume of 1/2 - sphere

= 1/2 x volume of sphere

=  1/2 x (4π/3) r³

= 1/2 x (4π/3) (6)³

= 144π

Also volume of an oblique cone =

=volume of a right cone

= (π/3) r²h

= (π/3) 6²(14)

=168π

Volume of composite figure = 144π + 168π = 312π mm³

Oksi-84 [34.3K]3 years ago
3 0

Answer: c

Step-by-step explanation:

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About 27.5 minutes

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Let mu denote the true average number of minutes of a television commercial. Suppose the hypothesis H0: mu = 2.1 versus Ha: mu &
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Answer:

A. T > 2.539

Step-by-step explanation:

We have a hypothesis test of the mean, with unknown population standard deviation.

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From the hypothesis we can see that the test is right-tailed, so the critical value of t should be a positive value.

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7 0
3 years ago
What is the volume in cubic centimeters of a cube that measures 13 cm wide
Andrei [34K]

Answer:

2197 cubic centimeters

Step-by-step explanation:

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8 0
3 years ago
What number has the same value as12 tens
Nuetrik [128]
12 tens as in 12 10's
that equals
10+10+10+10+10+10+10+10+10+10+10+10
or 12 times 10
when multiply by 10, just move decimal place on e to the right
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the answe ris 120
7 0
3 years ago
Is f(x)=e^2 an exponential function? If so what is its base? If not, why?
makkiz [27]

Answer:

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Step-by-step explanation:

The function f(x) = e^2 is not an exponential functional. Rather, it is a constant function. The reason for this is that in f(x) = e^2, there is no x involved on the right hand side of the equation. The approximate value of e is 2.718281, and the approximate value of 2.718281^2 is 7.389051. This means that f(x) = e^2 = 7.389051. It is important to note that for any value of x, the value of the function remains fixed. This is because the function does not involve the variable x in it. The graph of the function will be a line parallel to the x-axis, and the y-intercept will be 7.389051. For all the lines parallel to x-axis, the value of the function remains the same irrespective of the value of x. Also, the derivative of the function with respect to x is 0, which means that the value of the function is unaffected by the change in the value of x!!!

6 0
3 years ago
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