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Vinil7 [7]
3 years ago
9

Find the volume of a right circular cone that has a height of 9 m and a base with a circumference of 19.6 m. Round your answer t

o the nearest tenth of a cubic meter.
Mathematics
2 answers:
Blizzard [7]3 years ago
6 0

Answer:

V = 91.70 cubic meters

Step-by-step explanation:

The volume of a right circular cone

V = πr^2h/3

V - volume of the cone

π - pie

r - radius of the cone

h - height of the cone

Given

h - 9m

Circumference = 19.6m

Find radius

Circumference = 2πr

r = c/2π

c - 19.6

π - 3.142

r = 19.6/ 2*3.142

= 19.6/6.284

= 3.119m

Using the volume of a right circular cone

V = πr2h/3

V = 3.142 * 3.119^2 * 9/3

= 3.142 * 9.728 * 3

= 91.6976 cubic meter

Rounding to the nearest tenth cubic meter

V = 91.70 cubic meters

den301095 [7]3 years ago
4 0

Answer:

91.7 m³

Step-by-step explanation:

V = 1/3 πr²h

2πr = 19.6

r = 19.6 / (2 x 3.14) = 3.12

V = 1/3 x 3.14 x 3.12² x 9 = 91.7

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Answer:

Hi there!

Your answers are:

1) x> 5

Some numbers that would fit this equation are 6, 7, 8, etc!

2) x<= 30

Some numbers that would fit this are 30, 29, 28, etc!

3) x>= 17

Some numbers that would fit this equation are 17, 18, 19, etc!

4) x>= 90

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Which ordered pair (x,y) is a solution to the following?
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Answer:

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Step-by-step explanation:

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3 years ago
The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr
max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X \sim Bin (<em>n</em> = 5, <em>p</em> = 1/33).

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.

A random sample of <em>n</em> = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable <em>X</em> satisfies all criteria of a Binomial distribution.

The criteria are:

  • Number of observations is constant
  • Independent trials
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  • Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).

7 0
3 years ago
Read 2 more answers
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