Geometry help please

Mathematics

1 answer:

Svet_ta [14]4 years ago

4 0

Hello!

We first have to find the volume of the bigger cylinder

We use the equation $\pi r^{2} h$

Put in the values you know

$\pi 10.5^{2} *18$

This is 6234.49

Now we find the volume of the cut out part

$\pi 7.5^{2} 18$

This is 3180.86

We subtract the two values

6234.49 - 3180.86 = 3053.63

The answer is 3053.6

Hope this helps!

You might be interested in

What is 60/100 as a decimal

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

have a nice day

3 0

3 years ago

Read 2 more answers

Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

jeyben [28]

f(0) = 2(3)(0) = 0 ⇒ (0, 0)

f(1) = 2(3)(1) = 6 ⇒ (1, 6)

<u>rate of change from x = 0 to x = 1</u>

$\frac{y2 - y1}{x2 - x1}$ = $\frac{6 - 0}{1 - 0}$ = $\frac{6}{1}$ = 6

******************************************

f(2) = 2(3)(2) = 12 ⇒ (2, 12)

f(3) = 2(3)(3) = 18 ⇒ (3, 18)

<u>rate of change from x = 2 to x = 3</u>

$\frac{y2 - y1}{x2 - x1}$ = $\frac{18 - 12}{3 - 2}$ = $\frac{6}{1}$ = 6

*****************************************

Since it is the same line, they will have the same slope (aka rate of change).

5 0

3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

guajiro [1.7K]

Answer:

5 - x

Step-by-step explanation:

Given:

$f(x)=25-x^2$

$g(x)=x+5$

$\begin{aligned}\left(\dfrac{f}{g}\right)(x) & = \dfrac{f(x)}{g(x)}\\\\ & = \dfrac{25-x^2}{x+5}\\\\& = \dfrac{(5-x)(5+x)}{(x+5)}\\\\& = \dfrac{(5-x)(x+5)}{(x+5)}\\\\& = 5-x\end{aligned}$