Tom has an ice cream cone. The glob of ice cream in the top is a perfect sphere with a circumference of 6π inches. It sits in a cone perfectly at the center. Also the distance from the bottom of the ice cream to the tip of the cone is 1/3 the distance from the bottom of the ice cream to the opening of the cone. What is the volume of the cone not filled with ice cream?

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

3 ft is your answer

x=3y-6

step-by-step explanation:

solve for   x by simplifying both sides of the equation, then isolating the variable.

wouldn't that be a) 1

4=4x then divide 4 on both sides and you get x=1