All categories

3 years ago

What is the exact volume of the cylinder with a radius of 13 and a height of 30?

Mathematics

1 answer:

torisob [31]3 years ago

8 0

The volume would be <span>15927.87
so
</span>V ≈ 15927.87to be sure with my answer.

You might be interested in

How to use the distributive law to factor 2a + 2b?

Sunny_sXe [5.5K]

There is a common entity between the two terms of the given expression and that is the number 2 before each variable. We can factor out the 2 from the given expression and it becomes,
2 x (a + b)

7 0

3 years ago

The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3 . find<br> b.

inna [77]

Given that the difference between the roots of the equation $3x^2+bx+10=0$ is $4 \frac{1}{3} = \frac{13}{3}$ .

Recall that the sum of roots of a quadratic equation is given by $- \frac{b}{a}$ .

Let the two roots of the equation be $\alpha$ and $\alpha + \frac{13}{3}$ , then

$\alpha + \alpha + \frac{13}{3} =2 \alpha + \frac{13}{3} =- \frac{b}{a} =- \frac{b}{3} \\ \\ i.e.\ \ 2 \alpha + \frac{13}{3}=- \frac{b}{3}$ . . . (1)

Also recall that the product of the two roots of a quadratic equation is given by $\frac{c}{a}$ , thus:

$\alpha \left( \alpha + \frac{13}{3} \right)= \alpha ^2+ \frac{13}{3} \alpha = \frac{c}{a} = \frac{10}{3} \\ \\ i.e.\ \ \alpha ^2+ \frac{13}{3} \alpha=\frac{10}{3}$ . . . (2)

From (1), we have:

$2 \alpha =- \frac{b}{3} - \frac{13}{3} \\ \\ \Rightarrow \alpha =- \frac{b}{6} - \frac{13}{6}$

Substituting for alpha into (2), gives:

$\left(- \frac{b}{6} - \frac{13}{6}\right)^2+ \frac{13}{3} \left(- \frac{b}{6} - \frac{13}{6}\right)= \frac{10}{3} \\ \\ \Rightarrow \frac{b^2}{36} + \frac{13b}{18} + \frac{169}{36} - \frac{13b}{18} - \frac{169}{18} = \frac{10}{3} \\ \\ \Rightarrow \frac{b^2}{36} - \frac{289}{36} =0 \\ \\ \Rightarrow \frac{b^2}{36} = \frac{289}{36} \\ \\ \Rightarrow b^2=289 \\ \\ \Rightarrow b=\pm\sqrt{289}=\pm17$

5 0

3 years ago

Sin(0)= cos(6) what is the value of 0?

Licemer1 [7]

We need to find Ο for : sin(Ο)= cos(6)

We know that:

cos θ =sin (90 - θ), so if we call θ = 6 then O will be:

O = 90 - θ

O = 90 - 6

8 0

3 years ago

Will Give Brainliest! And 5 stars! And Thanks.... If correct

Harrizon [31]

Answer:

Step-by-step explanation:

T=16x+96 so if he wants to receive 130$ a day he must work at least 3 hours of over time.

5 0

2 years ago

The huh y b v c h b f y n<br>

castortr0y [4]

Answer:

what???????????????

6 0

2 years ago

Read 2 more answers