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Phantasy [73]
3 years ago
10

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your

final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3
Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

2034.72\:\mathrm{mm^3}

Step-by-step explanation:

The volume of a cone is given by V=\frac{1}{3}\cdot r^2\pi\cdot h, where r is the radius of the cone and h is the height of the cone.

What we're given:

  • r of 18
  • h of 6
  • Use \pi=3.14

Substituting given values, we get:

V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}

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One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept o
pickupchik [31]

Answer:

x-intercept(s):  (−1.9900717,  0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x. To find the y-intercept, substitute in  0 for x and solve for y .

f(x)=y

(x)=x

<u>x-intercept</u>

To find the x-intercept(s), substitute in  0  for  y  and solve for  x .

f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5

=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)

=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10

=0=10x^3-80x^2+170x-105\left(x-5\right)

=0=10x^3-80x^2+65x+525

=10x^3-80x^2+65x+525=0

=10x^2-99.90071\dots x+263.80959\dots \approx \:0

\bold{x\approx \:-1.99007\dots}

<u>y-intercept</u>

f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5

=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)

=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)

=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)

=y=0-0+0-\left(-52.5\right)

=0-0+0+52.5

\bold{y=52.5}

8 0
2 years ago
Can Somebody Solve This Equation ?
fiasKO [112]

C= 10+30x

X=9 here so

C= 20+30(9)

So

C=290

4 0
3 years ago
Read 2 more answers
a bag contains 57 coins which are only quarters and dimes the total value of coins is $9.45 how many dimes are in the bag​
Digiron [165]

Answer:

There are 32 dimes and 25 quarters.

Step-by-step explanation:

q + d = 57 or q = 57 - d  

25q + 10d = 945  

substitute first equation into second equation:  

25(57 - d) + 10d = 945  

1425 - 25d + 10d = 945  

-15d = -480  

d = -480/-15 = 32  

using first equation:  

q = 57 - 32 = 25  

check using second equation:  

25(25) + 10(32) = 945 checks

6 0
3 years ago
2 + 2 What is the Answer ?
kifflom [539]

Answer:

The answer is 4!

Step-by-step explanation:

2 + 2 can be rewritten as 1+1+1+1

both equal 4

5 0
3 years ago
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Help me please!!!!
Mariana [72]

Answer:

= p× r²

= 3,14×7×7

= 21,98×7

= 153,86

153.86 \div 3.14 = 7

3 0
3 years ago
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