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3 years ago

Given a sphere with a radius of 5 cm, find its volume to the nearest whole number.

Mathematics

2 answers:

timofeeve [1]3 years ago

6 0

Answer:

105cm³

Step-by-step explanation:

Volume of a sphere = 4/3 * π * r²

r = 5

Volume of a sphere 4/3 * π * 5²

Volume of a sphere 4/3 * π * 25

Volume of a sphere 100/3 * π = 104.71... = 105cm³ to the nearest whole number.

zubka84 [21]3 years ago

4 0

Answer: $V = 524cm^{3}$

Step-by-step explanation:

The volume of a sphere is calculated by the formula:

$V = \frac{4}{3}\pi r^{3}$

$r = 5cm$

$\pi = \frac{22}{7}$

substituting into the formula:

$V = \frac{4}{3}(\frac{22}{7})(5^{3})$

$V = \frac{4}{3}(\frac{22}{7})(125)$

$V=523.80952380952$

To the nearest whole number

$V = 524cm^{3}$

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A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 510-meter head st

Nataliya [291]

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F(x)=2000-8t,. for hare

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3 years ago

Lynn uses 3 grams of tea leaves to make 18 fluid ounces of tea . Last week she made 216 fluid onces of tea . How many grams of t

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216/18 is 12 so you would multiply 3 and 12 to get 36 grams of tea leaves

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3 years ago

Please help meee! :< An author receives $0.60 for each hardcover book or paperback book that is sold. There were x hardcover

rusak2 [61]

D) 47,000

0.60 (x+38,000)= 51,000
(0.60x)+22,800= 51,000
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5 0

3 years ago

Jacob leaves his summer cottage and drives home. After

krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km = (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

6 0

3 years ago

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is 1,562,500

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3 years ago