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Alona [7]
3 years ago
12

Find the radius of the sphere with the given volume. Show all work

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3  r^3

Multiply each side by 3/4

3/4 *4500  = 3/4 *4/3  r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

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Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue
Nadya [2.5K]

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

3 0
3 years ago
Read 2 more answers
Six friends will stay at a cabin in the woods this weekend. The distance to the cabin is 148.5 miles. Each person will drive one
ivolga24 [154]

Answer:

24.75/24¾

Step-by-step explanation:

148.5 ÷ 6 = 24¾ or 24.75

Answer: Each driver drove 24.75/24¾ miles

5 0
3 years ago
Angela invests 2,550 at 3% interest compounded annually. What will be the balance in the account after 1.5 years?
marin [14]

answer my question then i'll answer yours


Which sentence uses a conjunctive adverb correctly?

The kite was hopelessly tangled in electrical wires, still, the little girl's father struggled to get it down.<span>The kite was hopelessly tangled in electrical wires; still, the little girl's father struggled to get it down. 
</span>
6 0
3 years ago
Which one !<br><br> 1: $9<br> 2: $15<br> 3: $21 <br> 4: $18<br> 5: $12<br> 6: $24
Rudiy27

Answer:

$9 and $15

Step-by-step explanation:

Multiply the number of weeks (w) by $3 (m=$3w) to find the totals for each week:

3      $9   [Blank A]

5      $15  [Blank B]

7       $21

6 0
2 years ago
Help ASAP I really need an answer I don't need links please and if you don't know that answer just don't answer
Salsk061 [2.6K]

Answer:

113

Step-by-step explanation:

note: to find the circumference of a circle using the radius, you use this equation -- 2\pir. since the radius is 18, you make the equation 2\pi18. that gets you 36\pi, which, if put into the calculator, is about 113.

5 0
3 years ago
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