Question

A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. It currently contains 314 cubic centimeters of water. What is the difference between the height of the water in the full cylinder and the height when 314 cubic centimeters of water remains in the cylinder?

Answer 1

Answer:

The difference between the height of the water in the full cylinder and the height when 314 cubic centimeters of water remains is 2 cm

Step-by-step explanation:

Given :-

Volume (original)= 471 cm³

Radius = 5 cm

Volume" (water filled) = 314 cm³

Height (original) = h (let)

Height (water filled) = h" (let)

We know that ,

V = πr²h

471 = π*25*h

h = 471/(314/4)

h = 471*2/157

h = 3*2 = 6 cm ...........(1)

Also ,

V = πr²h

314 = π*25*h"

h" = 314/(314/4)

h" = 4 cm ...............(2)

To find diffrence between the original height and the height when water is filled is (2) - (1)

= h - h"

= (6 - 4) cm

= 2 cm

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