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3 years ago

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An ice cream cone has a height of 16 centimeters and a diameter of 4 centimeters. What is the volume of ice cream that can be co

ntained within the cone? Use 3.14 for pi.

1 answer:

Tatiana [17]3 years ago

7 0

Answer:

66.99 cm³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(2)²(16)/3 = 66.99 cm³

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Help, we didn't learn this, will give brainiest and 5 stars, Thanks❤️

DENIUS [597]

Answer:

1. 6.2831 2. 7 3. 4.7 4. irrational 5. rational

Step-by-step explanation:

6 0

3 years ago

A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv

lys-0071 [83]

Answer:

Population mean = 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

of novels that seniors read during their time in college. An exit

survey was conducted with a random sample of 9 seniors. The

sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

been met, which of the following is a 94.645% confidence

interval for the population mean number of novels read by

all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

= n - 1

= 9 - 1

= 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

=1 - 0.94645

=0.05355 ≈ 0.05

⇒α = 0.5

Now,

$\frac{\alpha}{2} = \frac{0.05}{2}$

= 0.025

Then,

$t_{\frac{\alpha}{2}, df }$ = 2.306

∴ we get

Population mean = x⁻ ± $t_{\frac{\alpha}{2}, df }$ × $\frac{s}{\sqrt{n} }$

= 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

⇒Population mean = 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

3 0

3 years ago

Read 2 more answers

A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in

FromTheMoon [43]

Yhe baby gained 3 1/4 pounds

4 0

3 years ago

Read 2 more answers

HELP PLEASE WILL GIVE BRAINLIST TO BEST ANSWER!

Setler79 [48]

Answer:

12 cubic ft.

Step-by-step explanation:

A=bh=4(3)=12 ft^3

4 0

3 years ago

Read 2 more answers

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base

timurjin [86]

Answer:

Step-by-step explanation:

Equation for a hyperboloid of one sheet, with center at the origen and axis along z-axis is:

(x/a)² + (y/b)² - (z/c)² = 1 (1)

We have to find a , b, and c

We can express equation (1)

(x/a)² + (y/b)² = (z/c)² + 1 (2)

Now if we cut the hyperboloid with planes parallel to xy plane we get for z = k ( K = 1 , 2 , 3 and so on ) circles of different radius

(x/a)² + (y/b)² = (k/c)² + 1

at z = k = 0 at the base of the hyperboloid d = 300 or r = 150 m

we have

(x/a)² + (y/b)² = 1

x² + y² = a² a² = (150)² a = b = 150

and x² + y² = (150)²

Now the other condition is at 200 m above the base d = 500 m r = 250 m minimum diameter then in equation (2) we have:

(x/a)² + (y/b)² = (z/c)² + 1

(1/a)² [ x² + y² ] = (z/c)² + 1

but x² + y² = r² and in this case r = 250 m then

(250)²/(150)² = (z/c)² + 1 ⇒ (62500/ 22500) = (200/c)² + 1

2,78 = 40000/c² + 1

2.78c² = 40000 + c²

1.78c² = 40000

c² = 40000/1.78

c² = 22471.91

c = 149,91

Then we finally have the equation:

x²/(150)² + y² /(150)² - z²/149,91 = 1

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4 years ago