Acylinder has a diameter that is twice it’s height. another cylinder has a height that is twice it’s diameter. which cylinder has a greater volume?

Cylinder on the left has 2 times the volume

Step-by-step explanation:

Volume of the cylinder on the left

V = pi * r^2 h

The radius is 1/2 the diameter, so

r = 2x/2 = x

r =x and h  =x

Substituting in

V = pi * x^2 *x

V = pi x^3

Volume of the cylinder on the right

V = pi * r^2 h

The radius is 1/2 the diameter, so

r =x/2 and h  =2x

Substituting in

V = pi * (x/2)^2 *2x

V = pi x^2/4 *2x

V= pi x^3 *1/2

V = 1/2 pi x^3

The volume of the cylinder on the right is 1/2 the volume of the cylinder on the left.

Cylinder on the left has 2 times the volume

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

what is the original number? you forgot to add it.