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Cloud [144]
3 years ago
14

Referring to the figure, find the volume of the solid

Mathematics
2 answers:
ehidna [41]3 years ago
4 0

Answer:

34483.48 in³

Step-by-step explanation:

<u>We </u><u>know</u><u> </u><u>,</u>

  • Volume = πr²h

<u>Substitute</u><u> </u><u>,</u>

  • V = 3.14 * 17 * 17 * 38 in.³
  • V = 34483.48 in.³
guapka [62]3 years ago
4 0

Answer:

34,483.48!

Step-by-step explanation:

The formula for calculating the volume of a cylinder is π · r^2 · h. We can replace the numbers, like this: 3.14 · (17)17· 38. 17 times 17 is 289, so 3.14 · 289 · 38. 289 times 38 is 10,982, so 3.14 · 10,982. 3.14 times 10,982 is 34,483.48, so the volume of the cylinder is 34,483.48.

Hope this helped!

P.S. : Can I get brainliest please?

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The cube less the square of a number is twice the number. If x is a positive integer, what is its value
olga55 [171]

Answer:

2

Step-by-step explanation:

let 'x' = number

x³ - x² = 2x

x³- x² - 2x = 0

x(x² - x - 2) = 0

x(x - 2)(x + 1) = 0

x = -1, 0, 2

the only positive solution is the number 2

3 0
2 years ago
Which list of values is ordered from least to greatest?
skelet666 [1.2K]
A is correct.

-8, -4, 0, 2

-|-4| becomes -(4) which becomes -4.
8 0
3 years ago
Read 2 more answers
What is a factor of 21x² + 13x - 20
Tems11 [23]

Answer:

(7x-5)(3x+4)

Step-by-step explanation:

4 0
3 years ago
Find the number b such that the line y = b divides the region bounded by the curves y = 36x2 and y = 25 into two regions with eq
Gemiola [76]

Answer:

b = 15.75

Step-by-step explanation:

Lets find the interception points of the curves

36 x² = 25

x² = 25/36 = 0.69444

|x| = √(25/36) = 5/6

thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).

The area of the bounded region is given by the integral

\int\limits^{5/6}_{-5/6} {(25-36 \, x^2)} \, dx = (25x - 12 \, x^3)\, |_{x=-5/6}^{x=5/6} = 25*5/6 - 12*(5/6)^3 - (25*(-5/6) - 12*(-5/6)^3) = 250/9

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

125/18 = \int\limits^{\sqrt{b}/6}_0 {(b - 36 \, x^2)} \, dx = (bx - 12 \, x^3)\, |_{x = 0}^{x=\sqrt{b}/6} = b^{1.5}/6 - b^{1.5}/18 = b^{1.5}/9

125/18 = b^{1.5}/9

b = (62.5²)^{1/3} = 15.75

8 0
3 years ago
Which is equivalent?
Arlecino [84]

Steps to simplify:

(2x + 3)(x - 7)

~Use FOIL to multiply

(2x * x) + (2 * -7) + (3 * x) + (3 * -7)

~Simplify

=2x² - 14x + 3x - 21

~Combine Like Terms

2x² + (-14x + 3x) - 21

~Simplify

2x² - 11x - 21 (Option 2)

Best of Luck!

6 0
3 years ago
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