I NEED HELP.... IM TIMED!!! PLS SHOW WORK!!! +10 POINTS

A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the

murzikaleks [220]

Answer:

The volume of the cylinder is $300\pi$ cubic feet.

Step-by-step explanation:

From Geometry we remember that volumes of a cone and a cylinder with the same radius ( $R$ ), measured in feet, and height ( $h$ ), measured in feet, are defined by the following equations:

Cone

$V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h$ (1)

Cylinder

$V_{cy} = \pi\cdot R^{2}\cdot h$ (2)

The ratio of the volume of the cylinder to the volume of the cone is:

$\frac{V_{cy}}{V_{co}} = 3$ (3)

If we know that $V_{co} = 100\pi\,ft^{3}$ , then the volume of the cylinder is:

$V_{cy} = 3\cdot V_{co}$

$V_{cy} = 300\pi\,ft^{3}$

The volume of the cylinder is $300\pi$ cubic feet.

3 0

2 years ago

Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan

inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

$P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}$

$= \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \ \ \\\\$

$k= 2,3..........10$ For option B:

$P(X=k | X \geq 2 ) = \sum^{10}_{i=2} \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}$

$k= 2,3, 4.........10$

8 0

3 years ago

I need help pls What is angle 3

N76 [4]

Answer:

Step-by-step explanation:

4x + 6 + 3x + 21 = 8x + 7

7x + 27 = 8x + 7

-x + 27 = 7

-x = -20

x = 20

m<3= 8(20) + 7

160 + 7 = 167

m<1= 4(20) + 6 = 80 + 6 = 86

m<2= 3(20) + 21 = 60 + 21 = 81

3 0

2 years ago

What are the roots of the equation? x^2+24=−11x Enter your answers in the boxes.

docker41 [41]

The correct answers are:

x=-3 and x=-8.

Explanation:

We can first write this in standard form, ax²+bx+c=0. To do this, we will add 11x to both sides:
x²+24+11x=-11x+11x
x²+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.

8 0

2 years ago

Read 2 more answers

Depth: 1.8 m Width: 2.5 m Height: 2 m What is the cuboid's volume?

8090 [49]

Answer:

9 m³

Step-by-step explanation:

The formula for calculating the volume (V) of a cuboid is

V = depth × width × height

= 1.8 × 2.5 × 2 = 9 m³

5 0

2 years ago

Read 2 more answers