The cone shown has a volume of 12π in3. find the volume of a cylinder with the same base and height as the cone.
a) 4π in3
b) 9π in3
c) 24π in3
d) 36π in3

The correct option is D.

Step-by-step explanation:

The volume of cone is 12π in³.

The volume of cone is

Multiply both sides by 3.

Divide both sides by π.

                            ..... (1)

It is given that base and height of cone and cylinder are equal.

The volume of cylinder is

Using equation (1), we get

Therefore the volume of cylinder is 36π and option D is correct.

it is true

step-by-step explanation:

all the combinations add up i used   calculator

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.