Sally has a game piece shaped like a square pyramid. The dimensions are shown in the net.

Calculate the volume of the cylinder, where a = 18 and b = 11. Use 3.14 for pi and round your answer to the nearest tenth.

cupoosta [38]

Answer:

Volume of cylinder $=2797.7$

Step-by-step explanation:

Let $a$ be diameter and $b$ the height of the cylinder

$Then\ radius(r)=\frac{diamater\ (a)}{2}\\\\r=\frac{18}{2}\\\\r=9$

Volume of cylinder $=\pi\times(radius)^2\times(height)$

$=\pi\times(9)^2\times11\ \ \ \ \ \ (\pi=3.14)\\\\=3.14\times9\times9\times11\\\\=2797.74\\\\\approx2797.7$

6 0

3 years ago

What is next in this series? 1, 4, 10, 19, 31, _

Gelneren [198K]

It is 46 plz brainlieest

3 0

3 years ago

Pablo has 0 pieces of candy and wants to divide them into 2 equal piles. You want to know how many pieces will be in each pile?

sesenic [268]

Answer:

no

Step-by-step explanation:

you cannot divide zero into two equal parts because there is nothing there to start. Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.

8 0

4 years ago

Read 2 more answers

Two linear functions of x are shown. Which Statement about the functions is true?

kolbaska11 [484]

Answer:

OPTION D: The rate of change of Function 2 is less than that of Function 1.

Step-by-step explanation:

From the table, we will determine the equation of function 2.

From the table, g(1) = 14 & g(-3) = - 86

Since, it is a linear function it should have been of the form, y = a + bx.

We will denote Function 2 as g(x).

So, g(1) = 14 = a + b . . . (1)

And g(-3) = -86 = -3a + b . . . (2)

From (1), a = 14 - b

Substituting this in (2), we get:

-86 = -3(14 - b) + b

⇒ - 86 = - 42 + 4b

⇒ - 44 = 4b

⇒ b = -11

So, a = 14 - (-11)

⇒ a = 25

So, equation of function 2 is: y = 25 - 11x.

Hence, Option A and B are eliminated.

In a linear equation of the form, y = ax + b, y - intercept = b.

So, in function 1, y - intercept = 19

And in function 2, y - intercept = -11

Clearly, OPTION C can be eliminated.

Now, rate of change of Function 1 = $\frac{dy}{dx} = 30$

and rate of change of Function 2 = $\frac{dy}{dx} = 25$

Therefore, we can say that the rate of change if function 2 is less than that of function 1.

Option D is our answer.

5 0

3 years ago

The points A BC :(2, 2,1), :(1,1,3), :(2,0,5) − are the vertices of a right triangle. The radius of the sphere with center at th

ElenaW [278]

Answer:

r=1

Step-by-step explanation:

First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

$|AB|= \sqrt{(b_{1}-a_{1})^{2}+(b_{2}-a_{2})^{2}+(b_{3}-a_{3})^{2}$

By doing so, we find:

$|AB|=\sqrt {6}\\|BC|=\sqrt {6}\\|AC|=2\sqrt {5}$

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.

As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

$|BC|^{2}=r^{2}+(\frac{|AC|}{2})^{2}\\\\r^{2}=|BC|^{2}-(\frac{|AC|}{2})^{2}\\\\r^{2}=(\sqrt{6})^{2}- (\frac{2\sqrt{5}}{2})^{2}\\\\r^{2}=6-5=1\\r=1$

4 0

3 years ago