All categories

3 years ago

What is the volume of the cone to the nearest cubic meter with radius of 4m and height of 5m

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Answer :

B) 84 m³

Step by step :

$\boxed{ \bold{volume = \frac{1}{3}\pi {r}^{2} h }}$

$volume = \frac{1}{3} \times 3.14 \times 4 \times 4 \times 5 \\ volume = \frac{1}{3} \times 251.2 \\ volume = 83.73 \: {m}^{3} \\ volume = 84 \: {m}^{3}$

You might be interested in

What is the following states of the pythangorean theorom triangles

Vitek1552 [10]

I don’t know if you were asking for that cause my english is not that good but i hope that i helped you

8 0

1 year ago

An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second

AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

$\displaystyle P(R)=\frac{5}{7}$

The probability is's green is computed by

$\displaystyle P(G)=\frac{2}{7}$

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

$\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}$

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

$\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}$

The total probability of the second ball being red is

$\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71$

The probability that the second ball is red is 71%

7 0

2 years ago

A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t

MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = $53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})$

now,

at height 53 above the ground, we get the equation as:

53 = $53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})$

$50\sin(\frac{\pi t}{16} - \frac{\pi}{2})$ = 53 - 53

$\sin(\frac{\pi t}{16} - \frac{\pi}{2})$ = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

$(\frac{\pi t}{16} - \frac{\pi}{2})$ = 0

$\frac{\pi t}{16} = \frac{\pi}{2}$

t = 8 seconds

and,

$(\frac{\pi t}{16} - \frac{\pi}{2})$ = π

$\frac{\pi t}{16}= \pi + \frac{\pi}{2}$

$\frac{\pi t}{16}= \frac{3\pi}{2}$

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0

2 years ago

Is 1.8L greater than 1,500 ML

Nata [24]

Answer:

yes

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

How do I solve this

Kitty [74]

Hello,

$x^2-2x-27=-5x+1\\

x^2-2x+5x-27-1=0\\

x^2+3x-28=0\\

x^2+7x-4x-28=0\\

x(x+7)-4(x+7)=0\\

(x+7)(x-4)=0\\

x=-7\ or\ x=4\\
$

8 0

3 years ago

Read 2 more answers