Calculate the area and volume of the ball of radius: a) r = 4 cm; b) √3 cm

4 cm radius

- Volume = 267

- Surface area = 201

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Square root 3

- Volume = 22

- Surface area = 38

Step-by-step explanation:

4/3 * 3.14 * r^3 is formula. For this, I am going to use 3.14 for pi.

Since r = 4, r ^3 = 64.

Now we do 64 * 3.14 * 4/3 = ~ 267.

Now let's do the surface area.

4 * 3.14 * r^2 is the formula. For this, I am going to use 3.14 for pi.

Since r = 4, r ^ 2 = 16.

4 * 16 * 3.14 = ~ 201

Now, let's do Square root of three.

3 square root of 3(i cubed it) * 4/3 * 3.14  = ~ 22

For surface area it is 3 * 4 * 3.14 = ~ 38.

:) This took a while xD

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1