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Vadim26 [7]
3 years ago
14

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?

Mathematics
1 answer:
zysi [14]3 years ago
4 0
You are going to solve this in such a quick, slick way
that you will blink and not believe it.  Fasten your seat belt.

Here are the tools you'll need:

--  Volume of a cylinder  =  (pi) (radius)² (height)

--  Volume of a sphere  =  (4/3) (pi) (radius)³

Now ... the question says that your cylinder and your sphere
have the same volume.  Fine !  So you can immediately write
an equation saying that their volumes are equal.

                               (pi) (radius)² (height)  =  (4/3) (pi) (radius)³

Divide each side by pi:    (radius)² (height)  =  (4/3)       (radius)³

Divide each side by (radius)²        (height)  =  (4/3)        (radius)

Fill in the given height:                  (6 cm)    =  (4/3)      (radius)

Multiply each side by  3/4 :    (6 cm) x (3/4)  =             radius

I'm pretty sure that you can take over now and find the radius.
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The perimeter of a rectangular swimming pool is 154m.Its length is 2m more than twice its breadth. What are the length and bread
TiliK225 [7]

P = 154\\a = 2b + 2

a = ?; b = ?

P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4

154 = 6b + 4\\6b = 154 - 4\\6b = 150\\b = 150 : 6\\b = 25

a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52

Answer: 25 and 52 m.

3 0
2 years ago
HELP PLEASEEEEeeeeee
jeyben [28]

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression (√2)π/(√5) can be written as,

\dfrac{\sqrt2 \pi}{\sqrt5}\\\\= \sqrt{\dfrac25}\pi\\\\=\sqrt{0.4} \times \pi\\\\

= 0.6324 × π

= 1.9869 ≈ 2

Hence, The value of the expression (√2)π/(√5) is 2.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

7 0
2 years ago
Read 2 more answers
Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...
Readme [11.4K]

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

a_n = a_1 + (n - 1)d

Here, a_1 = -1

a_{75} = -1 + (75 - 1)(16)

a_{75} = 1183

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¿Cómo simplifico 57/10?
Nonamiya [84]

Answer:

Step-by-step explanation:

57/10 cannot be simplified

but the decimal answer is 5.7

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pedro mixed 1 pound 6 ounces of apples 1 pound 4 ounces of oranges and 12 ounces of strawberries to make a fruit salad how much
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