A company is designing a new cylindrical water bottle. The volume of the bottle will be 211 cm^3. The height of the water bottle is 7.9 cm. What is the radius of the water bottle? Use 3.15 for pi

The correct answer is 2.912 cm.

Step-by-step explanation:

A company is designing a new cylindrical water bottle.

Volume of a cylinder is given by π × × h, where h is the height of the cylinder and r is the radius of the cylinder.

The volume of each bottle will be 211 .

The height (h) of the water bottle be 7.9 cm.

Let the radius of the bottle be r cm.

∴ π × × h = 211 ; (π = 3.15)

⇒ × 24.885 = 211

⇒ r = 2.912

The radius of the water bottle is 2.912 cm.

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.

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