Which statement correctly compares the angle

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

Answer:b

Step-by-step explanation:

I took the test

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A cone with radius 2 and height 9 has its radius tripled. How many times greater is the volume of the larger cone than the small

SpyIntel [72]

Answer:

When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times

Step-by-step explanation:

We have that the formula for the volume of a cone is:

Vc = pi * (r ^ 2) * h

We first calculate the original volume, where the radius is 2 and the height is 9, replacing:

Vc = 3.14 * (2 ^ 2) * 9

Vc = 113.04

Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:

Vc = 3.14 * (6 ^ 2) * 9

Vc = 1017.36

If we compare:

1017.36 / 113.04 = 9

This means that when the radius is tripled, the volume increases 9 times.

When if re reduces to a third the radius would be: 2/3, replacing:

Vc = 3.14 * ((2/3) ^ 2) * 9

Vc = 12.56

113.04 / 12.56 = 9

Which means that by reducing it to a third the volume becomes 9 times smaller.

6 0

3 years ago

The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. what is the probability a rider must wait m

stira [4]

1.5 minutes = 90 second

The probability density function is

$f_X(x)=\begin{cases}\dfrac1{200-30}=\dfrac1{170}&\text{for }30\le x\le200\\\\0&\text{otherwise}\end{cases}$

so the probability of interest is

$\mathbb P(X>90)=\displaystyle\int_{90}^\infty f_X(x)\,\mathrm dx$
$\mathbb P(X>90)=\dfrac1{170}\displaystyle\int_{90}^{200}\mathrm dx$
$\mathbb P(X>90)=\dfrac{200-90}{170}=\dfrac{11}{17}\approx0.6471$