All categories

2 years ago

Find , the correct 1 decimal , the volume of the following V=4/3 PIr3

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

8 0

Answer: 165 cm^3

Step-by-step explanation:

Formula:

V = (4/3)π r^3

Knowns:

r = 3.4

Work:

- (4/3)π 3.4^3 ≈ 164.64 cm^3

- Now, round .6 to a 1 because it is >4, this turns 164.64 cm^3 into 165 cm^3

Answer:

165 cm^3

You might be interested in

The ages of a random sample of five university professors are 39, 54, 61, 72, and 59. Using this information, find a 99% confide

kondor19780726 [428]

Answer:

99% confidence interval for the population standard deviation = (74.97 , 635.20).

Step-by-step explanation:

We are given that the ages of a random sample of five university professors are 39, 54, 61, 72 and 59. Also, it is provided that the ages of university professors are normally distributed.

So, firstly the pivotal quantity for 99% confidence interval for the population standard deviation is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2} __n_-_1$

where, s = sample standard deviation

$\sigma$ = population standard deviation

n = sample of university professors = 5

Also, $s^{2}$ = $\frac{\sum (X-\bar X)^{2} }{n-1}$ = 144.5

So, 99% confidence interval for population standard deviation, $\sigma$ is;

P(0.2070 < $\chi^{2} __5_-_1$ < 14.86) = 0.99 {As the table of $\chi^{2}$ at 4 degree of freedom

gives critical values of 0.2070 & 14.86}

P(0.2070 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 14.86) = 0.99

P( $\frac{ 0.2070}{(n-1)s^{2} }$ < $\frac{1 }{\sigma^{2} }$ < $\frac{ 14.86}{(n-1)s^{2} }$ ) = 0.99

P( $\frac{ (n-1)s^{2}}{14.86 }$ < $\sigma^{2}$ < $\frac{ (n-1)s^{2}}{0.2070 }$ ) = 0.99

99% confidence interval for $\sigma^{2}$ = ( $\frac{ (n-1)s^{2}}{14.86 }$ , $\frac{ (n-1)s^{2}}{0.2070 }$ )

= ( $\frac{ (5-1) \times 144.5^{2}}{14.86 }$ , $\frac{ (5-1) \times 144.5^{2}}{0.2070 }$ )

= (5620.525 , 403483.092)

99% confidence interval for $\sigma$ = ( $\sqrt{5620.525}$ , $\sqrt{403483.092}$ )

= (74.97 , 635.20)

Therefore, 99% confidence interval for the population standard deviation of the ages of all professors at the university is (74.97 , 635.20).

8 0

4 years ago

Picture included-11 points-second time

Lisa [10]

Answer:

b = 12

Step-by-step explanation:

c^2 = a^2 + b^2

Solving for b,

b^2 = c^2 - a^2

= (13)^2 - (5)^2

= 169 - 25

= 144

b = 12

4 0

3 years ago

Decubra el area de un hexagono de lado 12 cm

ruslelena [56]

What did you misspell something for are you foreign

4 0

3 years ago

Compare the values 552,299

Sophie [7]

What number are we going to compare bro?

3 0

3 years ago

15. A county fair charges $9.50 to get in and $2.50 per ride ticket. What is the cost of entering the fair and buying 4 ride tic

Katen [24]

Answer:

$19.50

Step-by-step explanation:

Multiply $2.50 by 4, which will give you $10.00.

Then, add $9.50 and $10 together, which gives you. a total of.

$19.50

4 0

3 years ago

Read 2 more answers