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2 years ago

A sphere with a radius of 6 cm has the same volume as a cone with a height of 6 cm. What is the radius of the cone?

1 answer:

8 0

The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2

Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2

Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm

So the radius of the cone is 12 cm

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Jessie works at a car manufacturing plant. One day she installed a total of 46 axles, 2 in each car she worked on. She wants to

shtirl [24]

Answer:

Step-by-step explanation:

total number of cars: x

the total number of axles: 46

and the number of axles installed per car: 2

2 axles in each car, then total instaled axles: 2•x

2•x = 46

x = 46÷2

x = 23

5 0

2 years ago

11. (21x² - 6x +14) + (x²-3x+18)

Furkat [3]

Answer:

22x^2-9x+32

Step-by-step explanation:

(21x² - 6x +14) + (x²-3x+18)

To add, we need to combine like terms

21x^2+x^2 -6x-3x +14+18

22x^2-9x+32

6 0

1 year ago

Read 2 more answers

Find the distance between the points (3, 8) and (0,4).

Bingel [31]

Answer:

Step-by-step explanation:

(3,8) (0,4)

X1 = 3 X2 = 0

Y1 = 8 Y2 = 4

$D=\sqrt{(X1-X2)^{2}+ (Y1-Y2)^{2} }$

$D= \sqrt{(3-0)^{2} + (8-4)^{2} }$

Do what's in the parentheses so...

3-0= 3
8-4= 4

Now plug it in!

$D= \sqrt{(3)^{2}+(4)^{2} }$

Now you are going to finish the parentheses so...

(3)^2= 9
(4)^2= 16

Plug that in so that you have this...

$\sqrt{9+16}$

Add 9+16 to get...

$\sqrt{25}$

Then you are going to find the number or numbers that make this a perfect square...

$\sqrt{25}= 5$

So 5 is your answer

7 0

2 years ago

Could you help me on this please !

Sergeu [11.5K]

Answer:

1 is allowed on the elevator.

2 is allowed on the elevator.

3 is allowed on the elevator.

4 is not allowed on the elevator.

5 is allowed on the elevator.

Step-by-step explanation:

If the maximum weight capacity of the elevator is 750 pounds, then that means every weight that is 750 pounds or less is allowed on the elevator.

1 is allowed because 700lbs is lower than 750lbs, therefore it is safe.

2 is allowed for the same reason, 620lbs is lower than 750lbs.

etc, etc.

So that's all you need to look for :)

4 0

2 years ago

If xr-st=r, which expression represents x

Alexus [3.1K]

Answer:

To get an expression relating to x you need to have x alone on one side of your equation. ie x =

Try this:

rx - st = r

remove st from the rx side

rx = r + st

now divide by r

x = (r + st)/r

You now have your expression relating to x

7 0

2 years ago