13. Lu Ying works at the Wilkins Bike Shop and is paid $3.25 for every bike he

Please asap<br>for 10 points!

kari74 [83]

<h3>Given:</h3><h3>Large cone:</h3>

r= 8 cm
h= 20 cm

<h3>Small cone:</h3>

r= 4 cm
h= 10cm

r: radius
h: height

The volume of the frustum of the given cone.

<h3>Solution:</h3>

Frustum is a part of a cone formed by cutting off the top by a parallel plane.

$\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}$

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

$V= \frac{1}{3}×\pi×{4}^{2}×10$

$V= 167.5516082 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V= 167.55 \: {cm}^{3}}$

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

$V= \frac{1}{3}×\pi×{8}^{2}×20$

$V= 1340.412866 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V=1340.41 \: {cm}^{3}}$

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

$V= 1340.41-167.55$

$\large\boxed{V= 1172.86 \: {cm}^{3}}$

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>

8 0

2 years ago

the length of a rectangle is 5 centimeters less than six times its width. its area is 14 square centimeters. find the dimensions

V125BC [204]

Not sure if you are familiar with the quadratic equation, but see picture

3 0

3 years ago

Read 2 more answers

What is the area of a triangle whose vertices are D(3,3), E(3,-1), and F(-2,-5)?

Elis [28]

There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ . The formula is as shown below:

Area= $\frac{1}{2}\begin{vmatrix}x_1&y_1&1 \\ x_2&y_2&1\\ x_3&y_3&1\end{vmatrix}$

Now, in our case, we have: $(x_1,y_1)=(3,3)$

$(x_2,y_2)=(3,-1)$ , and

$(x_3,y_3)=(-2,-5)$

Thus, the area in this case will become:

Area= $\frac{1}{2}\begin{vmatrix}3&3&1 \\ 3&-1&1\\ -2&-5&1\end{vmatrix}$

Therefore, Area= $\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10$

We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.

3 0

3 years ago

Please I NEED HELP WITH THIS!!!!

lozanna [386]

So you basically plot a point of the y axis on 7 then since the slope is -3x you have to go down 3 and to the right 1 and keep going then you have to do the same but opposite, go up 3 times and to the left 1 unit.

6 0

3 years ago

Easy but not for me. Help needed

aleksklad [387]

8x9=72
exponent 7 stays same
Answer:
72^7

8 0

3 years ago