A student said that the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius. What is the error?

Step-by-step explanation:

Let V be the volume of the cone.

The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.

If diameter is 4 inch, radius = 2 inch

Volume of the cone,

.......(1)

If radius, r = 2 inch

New volume,

....(2)

We can see that the volume in both case is same. Hence, the student is correct.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

unless if u could do my questions, if not i wouldn't want to