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never [62]
3 years ago
5

A sphere has a radius of 3 inches. A cylinder has a radius of 3 inches and a height of 6 inches. If the sphere is filled with wa

ter and is poured into the cylinder, what will the height of water in the cylinder be?
Mathematics
2 answers:
butalik [34]3 years ago
7 0

Answer:

1.5 (not in terms of pi)

Step-by-step explanation:

Volume of sphere = 4/3 times π times r^3

                              = 4/3 times π times 3^3

                              = 113.04 inches^3

Volume of cylinder = π times r^2 times h(height)

                                = π times 3^2 times 6

                                = 169.56 inches^3

Volume of cylinder/Volume of sphere: 169.56 inches^3 / 113.04 inches^3 = 1.5

The height is 1.5 inches^3.

Andrej [43]3 years ago
3 0

Answer:

Step-by-step explanation:

sphere =4/3*pi*r^3=4/3*27*pi= <em>36pi</em>

<em />

The base of the cylinder is a circle with area pi*r^2=9pi

36pi/9pi=4

The height will be 4 inches

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Few Questions! NEED HELP PLEASE , CONFUSED!!
Firdavs [7]
Multiples of 11 between 1 and 30:

11, 22

So there are 2 numbers that are multiples of 11 in the bin. There are a total of 30 cards, so the probability is written as 2/30. Or we can simplify it to 1/15.

For the next question:

There are a total of 3 + 8 = 11 balls in the bag.

The probability of choosing a red ball is 3/11.

The probability of choosing a green ball is 8/11.

Multiply the three fractions:

3/11 * 3/11 * 8/11 = 72/1331

So the probability is 72/1331.

For the last question:

A standard deck of cards has 52 cards.

There are 4 queens and 4 kings in the deck.

Probability of choosing a queen is 4/52, and the probability of choosing a king AFTER you already chose a queen is 4/51.

Multiply the two fractions:

4/52 * 4/51 = 16/2652

So the probability is 16/2652 or 4/663
7 0
3 years ago
Write a rule for the linear function in the table. x f(x) –3 –1 0 2 3 5 6 8
Kryger [21]
So the points are
(x,f(x))
(-3,-1)
(0,2)
(3,5)
(6,8)

hmm, find slope

slope betweeen 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
slope betwen (0,2) and (3,5) Is (5-2)/(3-0)=3/3=1

y=mx+b
m=slope
b=y intercept
given slope=1

y=1x+b
find b

input a point
(3,5)
x=3 and y=5
5=1(3)+b
5=3+b
2=b


y=1x+2 is the equaiton
8 0
3 years ago
Match each algebraic expression to the correct simplified expression
Anvisha [2.4K]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the solution set of x/4 is less than 9/x?
balandron [24]

Answer:

D

Step-by-step explanation:

\frac{x}{4}\leq \frac{9}{x}  \\x\leq \frac{36}{x} \\let x0\\so~0< x\leq 6

combininig the two cases

x≤-6 and 0<x≤6

7 0
3 years ago
If the diameter of a circle is 6, then the circumference is 12<br> True<br> False
11111nata11111 [884]

Answer:

False

Step-by-step explanation:

the circumference would be 18.84

7 0
3 years ago
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