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2 years ago

What is the volume of a sphere with a radius of 3 inches

1 answer:

7 0

$The\ volume\ of\ a\ sphere:V=\dfrac{4}{3}\pi R^3\\\\R=3\ in\\\\V=\dfrac{4}{3}\pi\cdot3^3=\dfrac{4}{3}\pi\cdot27=4\pi\cdot9=36\pi\\\\Answer:\boxed{V=36\pi\ in^3}$

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1. The population of a small town has established a growth rate of 3% per year. If the

Rasek [7]

Answer:

17 years

Step-by-step explanation:

3% of 2000 = 60

3000-200 = 1000

1000 ÷ 60= 16.6666666667

Round to the nearest whole number: 17

8 0

3 years ago

What is 8.275 rounded to the nearest hundredth.

miskamm [114]

Answer:

8.3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

1/3 cup of flour is used to make 5 dinner rolls.

Sergio [31]

3 dozen = 36

1/3 ÷ x = 5 ÷ 36
1/3 × 36 = x × 5
12 = 5x
12/5 = x

12/5 cups of flour is needed

6 0

3 years ago

Kyra has a rock collection. When she puts her rocks into 2 equal plies, there are no rocks left over. When she puts her rocks in

Nat2105 [25]

Step-by-step explanation:

According to this description we need a number that can be divided by 2,3 and 4 since the amount of rocks can be described by a natural number. However if a number is divided by 4 it is divided by 2 as well since 2*2=4.

$\frac{x}{4} = \alpha \\ \frac{x}{2} = 2 \alpha$

If α is a natural number then 2*α is a natural number as well as the product of two natural numbers.

Which means that we need a number devided by 3 and 4.

The smallest number that fulfills this demand is 3*4=12.

Also any product of 12 with any natural number can be devided by 3, 4 and 2.

If the exercise asks for the numbers that are divided only by 2,3 and 4 these are:

${3}^{ \alpha } \times 12 \: and \: {4}^{ \alpha } \times 12 \: \\ where \: \alpha \: belongs \: to \: the \: set \: of \: all \: \\ natural \: numbers$

8 0

2 years ago

Which of the following statements are true? Select all that apply.

wariber [46]

Answer:

1. No. it equals 24

2. Yes. it equals 18

3. Yes. it equals 90

4. No. it equals 44

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers