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Ainat [17]
2 years ago
6

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a height of 10 meters and a circular base wi

th a radius of 8 meters
Mathematics
2 answers:
nirvana33 [79]2 years ago
7 0

Answer: Volume of an oblique cylinder is 2011.43 sq.m.

Step-by-step explanation:

Since we have given that

Radius of a cylinder = 8 meters

Height of a cylinder = 10 meters

Cavelieri's Principle states that volume of an oblique cylinder is same as the volume of right circular cylinder with equal radius and height.

As we know the formula for "Volume of cylinder":

Volume=\pi r^2h\\\\V=\frac{22}{7}\times 8\times 8\times10\\\\V=\frac{14080}{7}\\\\V=2011.43

Hence, Volume of an oblique cylinder is 2011.43 sq.m.

Aleksandr-060686 [28]2 years ago
4 0
I think it is 640 pi
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Math question please show work
garik1379 [7]

You calculate this using the Cosine Rule

x^2 = 60.5^2 + 226^2 - 2*60.5*226 cos 39

= 33484.42

x = 182.98

He threw the ball approximately 183 feet.

7 0
2 years ago
In a study of automobile collision insurance costs, a random sample of n = 35 repair costs of front-end damage caused by hitting
laiz [17]

Answer: The maximum error = $105.76.

Step-by-step explanation:

Formula to find the maximum error:

E= z^*\dfrac{\sigma}{\sqrt{n}}

, where n= sample size.

\sigma = Population standard deviation

z*= Critical value(two-tailed).

As per given  , we have

\overline{x}=1438

n= 35

\sigma=269

For 98% confidence  , the significance level = 1-0.98=0.02

By z-table , the critical value (two -tailed) =z^* = z_{\alpha/2}=z_{0.01}=2.326

Now , the maximum error = E= (2.326)\dfrac{269}{\sqrt{35}}

E= (2.326)\dfrac{269}{5.9160797831}

E= (2.326)\times45.4692989044=105.761589252\pprox105.76

Hence, With 98% confidence level , the maximum error = $105.76.

4 0
2 years ago
Need help ASAP
diamong [38]

Answer:

b. {-9, 3}.

Step-by-step explanation:

x^2 + 6x - 27 = 0

We need 2 numbers whose product is -27 and whose sum is + 6.

These are + 9 and - 3. So the factors are:

(x - 3)(x + 9) = 0

(x - 3) = 0 or (x + 9) = 0

x = 3 or -9.

7 0
3 years ago
Read 2 more answers
Harrison has 70 CDs in his music collection.
Eduardwww [97]

Answer:

14

Step-by-step explanation:

First, find the percentage of the other types of music.

Since 30 + 50 = 80, the other 20% will be other music.

To find 20% of 70, multiply 70 by 0.2:

70(0.2)

= 14

So, there are 14 CDs that are other types of music.

4 0
3 years ago
One side of a right triangle is known to be 36 cm long and the opposite angle is measured as 30°, with a possible error of ±1°.
Tju [1.3M]

Answer:

  ±2.18 cm

Step-by-step explanation:

The definition of the sine of an angle (θ) is ...

  Sin = Opposite/Hypotenuse

Then the hypotenuse (h) is found from ...

  h = Opposite/sin(θ)

Differentiating with respect to θ gives ...

  dh/dθ = Opposite×(-cos(θ)/sin²(θ))

For the given numbers, this is ...

  dh/dθ = (36 cm)×(-√3/2)/(1/2)² = -72√3 cm/radian

The error of ±1° corresponds to ±π/180 radians, so the error is estimated to be ...

  error = (dh/dθ)Δθ = (-72√3 cm/radian)(±π/180 radians) = ±0.4π√3 cm

  error = ±2.18 cm

4 0
2 years ago
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