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valentinak56 [21]
2 years ago
9

A cylinder has a diameter of 14 cm and a volume of 112 pi.

Mathematics
1 answer:
vekshin12 years ago
8 0
Height of cylinder is 2.285 centimeters

Diameter = 14 cm
Radius = 7 cm (14/2)
Volume = 112 pi

Volume of cylinder = pi(radius)^2 h
112pi = pi(7)^2 h
Divide both sides
112 = 49 h
h = 112/49
h = 2.285 centimeters
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Andrei [34K]

Let x and x+1 be these consecutive integers. For some base b, we can write

(x_{10})^2=220_b=2b^2+2b

((x+1)_{10})^2=251_b=2b^2+5b+1

If

x^2=2b^2+2b

then

x^2+1=2b^2+2b+1

Now,

x^2+2x+1=2b^2+5b+1

2x+2b^2+2b+1=2b^2+5b+1

\implies2x=3b

Squaring both sides gives

4x^2=9b^2

and so

4(2b^2+2b)=9b^2

\implies8b^2+8b=9b^2

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3 0
3 years ago
Whats the variable -4(6+n)+3=36
Alexeev081 [22]
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5 0
2 years ago
Read 2 more answers
Jean's bedroom is 14 feet by 13 feet. She has chosen a carpet which costs $28.95 per square yard. This includes installation.
Svet_ta [14]
14x13= 182 sq ft
183 sq ft = 20.22 sq yd
28.95x20.22=
5853690
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585.37 is the answer
6 0
3 years ago
A dance club hires two different DJ’s to
zubka84 [21]

Answer:

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Step-by-step explanation:

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hip \: hop = 100 \times x

hip \: hop = 100x

For rap DJ, the charge is $50 per hour. Let y be the number of hours of rap :

rap =  50 \times y

rap = 50y

Given that both DJs spend a maximum of $800. So the final expression is :

100x + 50y \leqslant 800

5 0
3 years ago
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frez [133]

Answer:

x = 4 and 3

Step-by-step explanation:

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x = 4, 3

3 0
2 years ago
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