All categories

3 years ago

A cylinder with a 2 centimeter diameter is drilled through the triangle prism shown on the left. Find the volume of the prism.

Mathematics

1 answer:

shutvik [7]3 years ago

6 0

Answer:

<h3>The volume of the prism v is $248.5cm^3$ </h3>

Step-by-step explanation:

Given that a cylinder with a 2 cm diameter is drilled through the triangle prism.

<h3>To find the volume of the prism :</h3>

From the figure the volume remains stable for the prism as the hole was drilled.And the volume of a cylinder = $87.92cm^3$

We can show the drilled space with v and p for prism V

v= 248.5 - 87.92 + 87.92

= 248.5p

<h3>∴ The volume of the prism v is $248.5cm^3$ </h3>

You might be interested in

Answer as many as you can please (write in slope-intercept form)

RoseWind [281]

Answer: See below

Step-by-step explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{1-13}{3-(-6)} =\frac{-12}{9}$

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

$y=-\frac{12}{9} x+b$

$3=-\frac{12}{9}(1)+b$

$-\frac{9}{4} =b$

The slope-intercept form is $y=-\frac{12}{9} -\frac{9}{4}$ .

For the third one, we are already given the slope, so all we have to do is find b.

$y=-\frac{1}{2}x +b$

$-7=-\frac{1}{2} (-4)+b$

$-7=2+b$

$-9=b$

The slope-intercept form is $y=-\frac{1}{2} x-9$ .

For the last one, we need to first find the slope using $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{-8-2}{3-1}=\frac{-10}{2} =-5$

Now that we have our slope, we can plug it into our slope-intercept form and find b.

$y=-5x+b$

$2=-5(1)+b$

$2=-5+b$

$7=b$

Our slope-intercept form is $y=-5x+7$ .

4 0

4 years ago

I’ll give brainliest help ASAP

vazorg [7]

Answer:

your answer will be 6weeks

hope ur help

8 0

2 years ago

Read 2 more answers

In forming a contract, "consider" is

Goshia [24]

It depends on what contract you are signing if you are having doubts then yes but not then no!

5 0

3 years ago

Guys I can really use some help please!!!!

Ilya [14]

Use photo math ! It’s way better than this

8 0

4 years ago

1kg-1/4-3/8= what is it please help

olga_2 [115]

Answer: it's either kg-5/8 or kg + -5/8

Step-by-step explanation:

4 0

3 years ago