A cotton candy holder is shaped like a cone. The height is 12 in., and the diameter is 12 in. What is the volume of the holder? Use 3.14 to approximate pi, and express your final answer to the nearest tenth.. ______in3

Answers

Answer 1

Answer: The formula for the volume of a cone is
$V=\frac{1}3\pi r^2h$
(you can remember it like this: it's literally just 1/3 the volume of a cylinder, just as a pyramid is 1/3 the volume of a prism)

We know that the diameter is 12...the radius is always half the diameter, so 6.
The height is 12.
Let's plug these into our volume formula.

$V=\frac{1}3\pi *6^2*12$
$V=\frac{1}3\pi *36*12$
$V=\frac{1}3\pi *432$
$V=144* \pi$
$V\approx144*3.14$
$\boxed{V\approx452.16\ in^3}$

Answer 2

Answer:

that answer was close but I just took the test and its 452.2

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Eight less than seven times a number is the same as for l four more than three times a number. Find the number.

Answers

Question :- Eight less then seven times a number is the same as for l four more than three times a number. Find the number.

Answer :-

Let the number be x

Therefore,

$=> 8-7x = 4+3x$

$=> 8-4 = 3x+7x$

$=> 4 = 10$

$=> X = 5/4$

Hope it helps!

Which equation represents the graphed function?

Answers

Y- -2x+3. For sure. Ok

Answer:

y=-2x+3

Step-by-step explanation:

for one, you can see that the y-intercept is at 3, so for y=m*x+b, b is 3

next, you can count to get the slope. it moves 2 units down and one unit to the left, so for slope, which is rise over run, you are -2/1= -2

so y = -2x + 3

Which equation would best help solve the following problem?Rita hits a tennis ball with an initial velocity of 15 meters/sec. When she hits the ball, it is one meter above the ground. How long will it take for the ball to hit the ground?
Question 1 options:

–16t^2+ 15t + 1 = 0

–4.9t^2 + 15t = 1

–4.9t^2 + 15t + 1 = 0

4.9t^2 + 15t + 1 = 0

Answers

Your answer is –4.9t^2 + 15t + 1 = 0

Hope this helps.

Is (0,3) a solution to the equation y=x+3? yes
no

Is (1,-4) a solution to the equation y=-2x?
yes
no

Answers

1. To find out if (0,3) is a solution to y = x +3 you replace x and y with (0,3)

y = x + 3
3 = 0 + 3
3 = 3 Correct

The answer is YES

2. To find out if (1,-4) is a solution to y = -2x you replace x and y with (1,-4)

y = -2x
-4 = -2(1)
-4 = -2 Incorrect

The answer is NO

Every week Sarah collects a few pounds of cans to recycle. The graph below shows the total number of pounds of cans (y) that Sarah collected in a certain amount of time (x), in weeks: A graph titled Can Recycling is shown with labels in x axis and y axis as Number of Weeks and Amount of Cans Collected in pounds, respectively. The values on the x axis are from 0 to 5 at increments of 1, and the values on the y axis are from 0 to 100 with increments of 20. Dots are made at 0, 20 and 1, 40 and 2, 60 and 3, 80 and 4, 100. A straight line joins the ordered pairs 0, 20 and 4,100.

What would most likely be the total amount of cans, in pounds, Sarah would collect in 10 weeks?

200
220
320
420