6 m 6 m 19 m Not drawn to scale Find the volume of the triangular prism.

The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder

cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V= $\pi r^2h$ , where r is the radius of cylinder, h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

$1600=\pi r^2(16).$

Dividing both sides by 16, we get

$\frac{1600}{16}=\frac{\pi r^2 (16)}{16}$

$r^2=100$

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

$\frac{x}{10}=\frac{4}{16}$

$\frac{x}{10}=\frac{1}{4}$

Multiplying both sides by 10, we get

$10 \times \frac{x}{10}=10 \times\frac{1}{4}$

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get

$V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.$

Therefore, correct option is 25 pi cm^3.

8 0

3 years ago

Write an expression for the perimeter of the triangle shown below:

AveGali [126]

Answer:

The answer is 0.1x-16

Step-by-step explanation:

-3.4x+3x+.5x=0.1x and -25+9 is -16 which is 0.1x-16

6 0

3 years ago

Geometry Homework Question

mash [69]

Answer:

Distance is 8.485

Midpoint is (3,4)

Step-by-step explanation:

Use the points (-1,7) and (5,1)

Insert them into the equation and solve for D

$D=\sqrt{x} ((5-(-1))^2 + (1-7)^2)\\D=\sqrt{x} ((6)^2 + (-6)^2)\\D=\sqrt{x} (36+36)\\D=\sqrt{x} (72)\\D=8.485$

Insert points into second equation to find midpoint

$(\frac{_1+5}{2} , \frac{7+1}{2}) \\(\frac{6}{2} ,\frac{8}{2} )\\(3,4)$

7 0

3 years ago

traingle ABC has been dilated aboit point A by a scale factor of 1/3. What are the lengths, in units, of the three sides of tria

solniwko [45]

Answer:

You need to show the graph so i can see numbers, you cant dilate the traingle without knowing where it is on the graph.

Step-by-step explanation:

4 0

3 years ago

What is the slope of the line that passes through the points (-4, -2)(−4,−2) and (-4, -22) ?(−4,−22)? Write your answer in simpl

Anestetic [448]

The line is vertical, so the slope is infinite

Step-by-step explanation:

Given two points with coordinates $(x_1, y_1)$ and $(x_2,y_2)$ , the slope of the line passing through the two points is given by the equation

$m=\frac{y_2-y_1}{x_2-x_1}$

In this problem, the coordinates of the two points are:

$(x_1,y_1)=(-4,-2)$

and

$(x_2,y_2)=(-4,-22)$

which means:

$x_1=-4\\y_1=-2\\x_2=-4\\y_2=-22$

Substituting all these values into the equation of m, we find the slope of the line:

$m=\frac{-22-(-2)}{-4-(-4)}=\frac{-20}{0}=\infty$

The slope is infinite: this is because the line is vertical.

Learn more about slope of a line:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

7 0

4 years ago