Find the volume of the right cone.

a
7560 cm3
b
30,200 cm3
c
11,300 cm3
d
22,700 cm3

The volume of the cone is a. 7,560 cm³.

Step-by-step explanation:

Step 1:

The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h).

Here we substitute π as 3.1415.

The volume of the cone

Step 2:

The diameter of the cone is 38 cm so the radius is 19 cm. The height is 20 cm.

The volume of the cone

The volume of the cone =

The volume of the cone is 7,560.5433 cm³ which if rounded off is equal to option a.

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

0.32

step-by-step explanation:

2.24/7