Question

Nasim fills a measuring jug with 310 cm of water. She pours the water into a cylin- drical vase with radius 4 cm. Find the height of water in cm.

Answer 1

Answer:

The height of water in the cylindrical vase is 6.2 cm.

Step-by-step explanation:

Volume of water in the measuring jug = 310 $cm^{3}$.

The radius of the cylindrical vase = 4 cm

volume of cylinder = $\pi$$r^{2}$h

But,

volume of water in the jug = volume of water in the vase = 310 $cm^{3}$

So that,

310 = $\frac{22}{7}$ x $(4)^{2}$ x h

     = $\frac{22}{7}$ x 16 x h

310 x 7 = 22 x 16 h

2170 = 352h

h = $\frac{2170}{352}$

  = 6.163

h = 6.2 cm

The height of water in the cylindrical vase is 6.2 cm.

Answer 2

The height of water of the jug in cm is; 6.2 cm

• We are told that the jug was filled with 310 cm of water. This amount is the volume(V)

We are given radius(r) = 4cm

• Now, a jug is usually a cylindrical shape and the formula for volume is;

V = πr²h

Thus;

310 = π × 4² × h

h = 310/(16π)

h = 6.167 cm

Approximating, we have; h = 6.2 cm

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